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Finding the Fourth Proportional to 406,072.98, 560,373.93 and 224,781.08

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Solution

The fourth proportional to 406,072.98, 560,373.93 and 224,781.08 is: 310,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,072.98 : 560,373.93 = 224,781.08 : x
  2. Step 2: Convert to fraction form
    406,072.98/560,373.93 = 224,781.08/x
  3. Step 3: Cross multiply
    406,072.98x = 560,373.93 × 224,781.08
  4. Step 4: Simplify right side
    406,072.98x = 125,961,454,387.38
  5. Step 5: Solve for x
    x = 125,961,454,387.38/406,072.98
  6. Step 6: Final answer
    x = 310,194.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.