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Finding the Fourth Proportional to 406,869.78, 610,304.70 and 157,551.78

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Solution

The fourth proportional to 406,869.78, 610,304.70 and 157,551.78 is: 236,327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,869.78 : 610,304.70 = 157,551.78 : x
  2. Step 2: Convert to fraction form
    406,869.78/610,304.70 = 157,551.78/x
  3. Step 3: Cross multiply
    406,869.78x = 610,304.70 × 157,551.78
  4. Step 4: Simplify right side
    406,869.78x = 96,154,591,827.37
  5. Step 5: Solve for x
    x = 96,154,591,827.37/406,869.78
  6. Step 6: Final answer
    x = 236,327.68

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1.5x scale

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.