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Finding the Fourth Proportional to 288,563.31, 434,814.68 and 237,125.07

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Solution

The fourth proportional to 288,563.31, 434,814.68 and 237,125.07 is: 357,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,563.31 : 434,814.68 = 237,125.07 : x
  2. Step 2: Convert to fraction form
    288,563.31/434,814.68 = 237,125.07/x
  3. Step 3: Cross multiply
    288,563.31x = 434,814.68 × 237,125.07
  4. Step 4: Simplify right side
    288,563.31x = 103,105,462,024.84
  5. Step 5: Solve for x
    x = 103,105,462,024.84/288,563.31
  6. Step 6: Final answer
    x = 357,306.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.