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Finding the Fourth Proportional to 359,387.34, 496,113.94 and 232,125

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Solution

The fourth proportional to 359,387.34, 496,113.94 and 232,125 is: 320,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,387.34 : 496,113.94 = 232,125 : x
  2. Step 2: Convert to fraction form
    359,387.34/496,113.94 = 232,125/x
  3. Step 3: Cross multiply
    359,387.34x = 496,113.94 × 232,125
  4. Step 4: Simplify right side
    359,387.34x = 115,160,448,322.50
  5. Step 5: Solve for x
    x = 115,160,448,322.50/359,387.34
  6. Step 6: Final answer
    x = 320,435.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.