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Finding the Fourth Proportional to 286,565.60, 429,822.02 and 97,004.30

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Solution

The fourth proportional to 286,565.60, 429,822.02 and 97,004.30 is: 145,497.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,565.60 : 429,822.02 = 97,004.30 : x
  2. Step 2: Convert to fraction form
    286,565.60/429,822.02 = 97,004.30/x
  3. Step 3: Cross multiply
    286,565.60x = 429,822.02 × 97,004.30
  4. Step 4: Simplify right side
    286,565.60x = 41,694,584,174.69
  5. Step 5: Solve for x
    x = 41,694,584,174.69/286,565.60
  6. Step 6: Final answer
    x = 145,497.52

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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.