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Finding the Fourth Proportional to 359,758.31, 539,543.40 and 106,970.72

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Solution

The fourth proportional to 359,758.31, 539,543.40 and 106,970.72 is: 160,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,758.31 : 539,543.40 = 106,970.72 : x
  2. Step 2: Convert to fraction form
    359,758.31/539,543.40 = 106,970.72/x
  3. Step 3: Cross multiply
    359,758.31x = 539,543.40 × 106,970.72
  4. Step 4: Simplify right side
    359,758.31x = 57,715,343,271.53
  5. Step 5: Solve for x
    x = 57,715,343,271.53/359,758.31
  6. Step 6: Final answer
    x = 160,428.11

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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.