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Finding the Fourth Proportional to 429,598.92, 592,830.02 and 238,624.52

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Solution

The fourth proportional to 429,598.92, 592,830.02 and 238,624.52 is: 329,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,598.92 : 592,830.02 = 238,624.52 : x
  2. Step 2: Convert to fraction form
    429,598.92/592,830.02 = 238,624.52/x
  3. Step 3: Cross multiply
    429,598.92x = 592,830.02 × 238,624.52
  4. Step 4: Simplify right side
    429,598.92x = 141,463,778,964.09
  5. Step 5: Solve for x
    x = 141,463,778,964.09/429,598.92
  6. Step 6: Final answer
    x = 329,292.68

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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.