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Finding the Fourth Proportional to 359,421.58, 539,215.40 and 106,696.47

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Solution

The fourth proportional to 359,421.58, 539,215.40 and 106,696.47 is: 160,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,421.58 : 539,215.40 = 106,696.47 : x
  2. Step 2: Convert to fraction form
    359,421.58/539,215.40 = 106,696.47/x
  3. Step 3: Cross multiply
    359,421.58x = 539,215.40 × 106,696.47
  4. Step 4: Simplify right side
    359,421.58x = 57,532,378,988.61
  5. Step 5: Solve for x
    x = 57,532,378,988.61/359,421.58
  6. Step 6: Final answer
    x = 160,069.35

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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.