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Finding the Fourth Proportional to 314,928,404.60, 472,392,606.90 and 257,485,537.40

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Solution

The fourth proportional to 314,928,404.60, 472,392,606.90 and 257,485,537.40 is: 386,228,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,404.60 : 472,392,606.90 = 257,485,537.40 : x
  2. Step 2: Convert to fraction form
    314,928,404.60/472,392,606.90 = 257,485,537.40/x
  3. Step 3: Cross multiply
    314,928,404.60x = 472,392,606.90 × 257,485,537.40
  4. Step 4: Simplify right side
    314,928,404.60x = 121,634,264,251,433,440
  5. Step 5: Solve for x
    x = 121,634,264,251,433,440/314,928,404.60
  6. Step 6: Final answer
    x = 386,228,306.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.