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Finding the Fourth Proportional to 590,646.40, 814,808.64 and 429,251.20

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Solution

The fourth proportional to 590,646.40, 814,808.64 and 429,251.20 is: 592,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,646.40 : 814,808.64 = 429,251.20 : x
  2. Step 2: Convert to fraction form
    590,646.40/814,808.64 = 429,251.20/x
  3. Step 3: Cross multiply
    590,646.40x = 814,808.64 × 429,251.20
  4. Step 4: Simplify right side
    590,646.40x = 349,757,586,490.37
  5. Step 5: Solve for x
    x = 349,757,586,490.37/590,646.40
  6. Step 6: Final answer
    x = 592,160.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.