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Finding the Fourth Proportional to 508,055.49, 762,072.30 and 153,061.65

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Solution

The fourth proportional to 508,055.49, 762,072.30 and 153,061.65 is: 229,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,055.49 : 762,072.30 = 153,061.65 : x
  2. Step 2: Convert to fraction form
    508,055.49/762,072.30 = 153,061.65/x
  3. Step 3: Cross multiply
    508,055.49x = 762,072.30 × 153,061.65
  4. Step 4: Simplify right side
    508,055.49x = 116,644,043,657.30
  5. Step 5: Solve for x
    x = 116,644,043,657.30/508,055.49
  6. Step 6: Final answer
    x = 229,589.18

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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.