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Finding the Fourth Proportional to 359,093.40, 538,644.78 and 172,061.16

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Solution

The fourth proportional to 359,093.40, 538,644.78 and 172,061.16 is: 258,093.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,093.40 : 538,644.78 = 172,061.16 : x
  2. Step 2: Convert to fraction form
    359,093.40/538,644.78 = 172,061.16/x
  3. Step 3: Cross multiply
    359,093.40x = 538,644.78 × 172,061.16
  4. Step 4: Simplify right side
    359,093.40x = 92,679,845,674.74
  5. Step 5: Solve for x
    x = 92,679,845,674.74/359,093.40
  6. Step 6: Final answer
    x = 258,093.98

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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.