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Finding the Fourth Proportional to 519,815.28, 717,386.76 and 413,264.64

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Solution

The fourth proportional to 519,815.28, 717,386.76 and 413,264.64 is: 570,338.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,815.28 : 717,386.76 = 413,264.64 : x
  2. Step 2: Convert to fraction form
    519,815.28/717,386.76 = 413,264.64/x
  3. Step 3: Cross multiply
    519,815.28x = 717,386.76 × 413,264.64
  4. Step 4: Simplify right side
    519,815.28x = 296,470,581,112.17
  5. Step 5: Solve for x
    x = 296,470,581,112.17/519,815.28
  6. Step 6: Final answer
    x = 570,338.33

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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.