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Finding the Fourth Proportional to 261,200.40, 392,635.80 and 242,710.80

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Solution

The fourth proportional to 261,200.40, 392,635.80 and 242,710.80 is: 364,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,200.40 : 392,635.80 = 242,710.80 : x
  2. Step 2: Convert to fraction form
    261,200.40/392,635.80 = 242,710.80/x
  3. Step 3: Cross multiply
    261,200.40x = 392,635.80 × 242,710.80
  4. Step 4: Simplify right side
    261,200.40x = 95,296,949,126.64
  5. Step 5: Solve for x
    x = 95,296,949,126.64/261,200.40
  6. Step 6: Final answer
    x = 364,842.28

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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.