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Finding the Fourth Proportional to 538,460.38, 742,557.12 and 354,369.64

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Solution

The fourth proportional to 538,460.38, 742,557.12 and 354,369.64 is: 488,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,460.38 : 742,557.12 = 354,369.64 : x
  2. Step 2: Convert to fraction form
    538,460.38/742,557.12 = 354,369.64/x
  3. Step 3: Cross multiply
    538,460.38x = 742,557.12 × 354,369.64
  4. Step 4: Simplify right side
    538,460.38x = 263,139,699,293.84
  5. Step 5: Solve for x
    x = 263,139,699,293.84/538,460.38
  6. Step 6: Final answer
    x = 488,689.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.