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Finding the Fourth Proportional to 406,602.47, 609,824.84 and 153,902.68

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Solution

The fourth proportional to 406,602.47, 609,824.84 and 153,902.68 is: 230,824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,602.47 : 609,824.84 = 153,902.68 : x
  2. Step 2: Convert to fraction form
    406,602.47/609,824.84 = 153,902.68/x
  3. Step 3: Cross multiply
    406,602.47x = 609,824.84 × 153,902.68
  4. Step 4: Simplify right side
    406,602.47x = 93,853,674,912.50
  5. Step 5: Solve for x
    x = 93,853,674,912.50/406,602.47
  6. Step 6: Final answer
    x = 230,824.16

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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.