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Finding the Fourth Proportional to 519,447.92, 716,849.32 and 286,874.14

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Solution

The fourth proportional to 519,447.92, 716,849.32 and 286,874.14 is: 395,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,447.92 : 716,849.32 = 286,874.14 : x
  2. Step 2: Convert to fraction form
    519,447.92/716,849.32 = 286,874.14/x
  3. Step 3: Cross multiply
    519,447.92x = 716,849.32 × 286,874.14
  4. Step 4: Simplify right side
    519,447.92x = 205,645,532,184.59
  5. Step 5: Solve for x
    x = 205,645,532,184.59/519,447.92
  6. Step 6: Final answer
    x = 395,892.49

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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.