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Finding the Fourth Proportional to 539,423.28, 808,884.60 and 314,848.38

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Solution

The fourth proportional to 539,423.28, 808,884.60 and 314,848.38 is: 472,126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,423.28 : 808,884.60 = 314,848.38 : x
  2. Step 2: Convert to fraction form
    539,423.28/808,884.60 = 314,848.38/x
  3. Step 3: Cross multiply
    539,423.28x = 808,884.60 × 314,848.38
  4. Step 4: Simplify right side
    539,423.28x = 254,676,005,916.95
  5. Step 5: Solve for x
    x = 254,676,005,916.95/539,423.28
  6. Step 6: Final answer
    x = 472,126.46

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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.