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Finding the Fourth Proportional to 314,809.60, 472,214.40 and 294,073.60

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Solution

The fourth proportional to 314,809.60, 472,214.40 and 294,073.60 is: 441,110.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,809.60 : 472,214.40 = 294,073.60 : x
  2. Step 2: Convert to fraction form
    314,809.60/472,214.40 = 294,073.60/x
  3. Step 3: Cross multiply
    314,809.60x = 472,214.40 × 294,073.60
  4. Step 4: Simplify right side
    314,809.60x = 138,865,788,579.84
  5. Step 5: Solve for x
    x = 138,865,788,579.84/314,809.60
  6. Step 6: Final answer
    x = 441,110.40

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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.