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Finding the Fourth Proportional to 411,952.40, 616,616.40 and 293,854.40

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Solution

The fourth proportional to 411,952.40, 616,616.40 and 293,854.40 is: 439,845.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,952.40 : 616,616.40 = 293,854.40 : x
  2. Step 2: Convert to fraction form
    411,952.40/616,616.40 = 293,854.40/x
  3. Step 3: Cross multiply
    411,952.40x = 616,616.40 × 293,854.40
  4. Step 4: Simplify right side
    411,952.40x = 181,195,442,252.16
  5. Step 5: Solve for x
    x = 181,195,442,252.16/411,952.40
  6. Step 6: Final answer
    x = 439,845.58

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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.