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Finding the Fourth Proportional to 406,142.48, 608,520.36 and 287,616.80

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Solution

The fourth proportional to 406,142.48, 608,520.36 and 287,616.80 is: 430,934.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,142.48 : 608,520.36 = 287,616.80 : x
  2. Step 2: Convert to fraction form
    406,142.48/608,520.36 = 287,616.80/x
  3. Step 3: Cross multiply
    406,142.48x = 608,520.36 × 287,616.80
  4. Step 4: Simplify right side
    406,142.48x = 175,020,678,678.05
  5. Step 5: Solve for x
    x = 175,020,678,678.05/406,142.48
  6. Step 6: Final answer
    x = 430,934.19

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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.