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Finding the Fourth Proportional to 429,646.64, 592,816.92 and 259,877.12

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Solution

The fourth proportional to 429,646.64, 592,816.92 and 259,877.12 is: 358,572.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,646.64 : 592,816.92 = 259,877.12 : x
  2. Step 2: Convert to fraction form
    429,646.64/592,816.92 = 259,877.12/x
  3. Step 3: Cross multiply
    429,646.64x = 592,816.92 × 259,877.12
  4. Step 4: Simplify right side
    429,646.64x = 154,059,553,856.87
  5. Step 5: Solve for x
    x = 154,059,553,856.87/429,646.64
  6. Step 6: Final answer
    x = 358,572.70

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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.