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Finding the Fourth Proportional to 539,328.78, 808,742.88 and 314,753.85

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Solution

The fourth proportional to 539,328.78, 808,742.88 and 314,753.85 is: 471,984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,328.78 : 808,742.88 = 314,753.85 : x
  2. Step 2: Convert to fraction form
    539,328.78/808,742.88 = 314,753.85/x
  3. Step 3: Cross multiply
    539,328.78x = 808,742.88 × 314,753.85
  4. Step 4: Simplify right side
    539,328.78x = 254,554,935,140.09
  5. Step 5: Solve for x
    x = 254,554,935,140.09/539,328.78
  6. Step 6: Final answer
    x = 471,984.71

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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.