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Finding the Fourth Proportional to 502,164.65, 753,296.58 and 165,068.57

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Solution

The fourth proportional to 502,164.65, 753,296.58 and 165,068.57 is: 247,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,164.65 : 753,296.58 = 165,068.57 : x
  2. Step 2: Convert to fraction form
    502,164.65/753,296.58 = 165,068.57/x
  3. Step 3: Cross multiply
    502,164.65x = 753,296.58 × 165,068.57
  4. Step 4: Simplify right side
    502,164.65x = 124,345,585,480.01
  5. Step 5: Solve for x
    x = 124,345,585,480.01/502,164.65
  6. Step 6: Final answer
    x = 247,619.16

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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.