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Finding the Fourth Proportional to 501,497.28, 692,066.24 and 286,641.96

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Solution

The fourth proportional to 501,497.28, 692,066.24 and 286,641.96 is: 395,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,497.28 : 692,066.24 = 286,641.96 : x
  2. Step 2: Convert to fraction form
    501,497.28/692,066.24 = 286,641.96/x
  3. Step 3: Cross multiply
    501,497.28x = 692,066.24 × 286,641.96
  4. Step 4: Simplify right side
    501,497.28x = 198,375,220,023.10
  5. Step 5: Solve for x
    x = 198,375,220,023.10/501,497.28
  6. Step 6: Final answer
    x = 395,565.90

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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.