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Finding the Fourth Proportional to 289,885.20, 434,827.80 and 237,397.20

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Solution

The fourth proportional to 289,885.20, 434,827.80 and 237,397.20 is: 356,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,885.20 : 434,827.80 = 237,397.20 : x
  2. Step 2: Convert to fraction form
    289,885.20/434,827.80 = 237,397.20/x
  3. Step 3: Cross multiply
    289,885.20x = 434,827.80 × 237,397.20
  4. Step 4: Simplify right side
    289,885.20x = 103,226,902,202.16
  5. Step 5: Solve for x
    x = 103,226,902,202.16/289,885.20
  6. Step 6: Final answer
    x = 356,095.80

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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.