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Finding the Fourth Proportional to 429,503.65, 644,196.61 and 237,732.78

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Solution

The fourth proportional to 429,503.65, 644,196.61 and 237,732.78 is: 356,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,503.65 : 644,196.61 = 237,732.78 : x
  2. Step 2: Convert to fraction form
    429,503.65/644,196.61 = 237,732.78/x
  3. Step 3: Cross multiply
    429,503.65x = 644,196.61 × 237,732.78
  4. Step 4: Simplify right side
    429,503.65x = 153,146,653,674.78
  5. Step 5: Solve for x
    x = 153,146,653,674.78/429,503.65
  6. Step 6: Final answer
    x = 356,566.60

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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.