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Finding the Fourth Proportional to 294,435.92, 406,331.40 and 160,304.72

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Solution

The fourth proportional to 294,435.92, 406,331.40 and 160,304.72 is: 221,225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,435.92 : 406,331.40 = 160,304.72 : x
  2. Step 2: Convert to fraction form
    294,435.92/406,331.40 = 160,304.72/x
  3. Step 3: Cross multiply
    294,435.92x = 406,331.40 × 160,304.72
  4. Step 4: Simplify right side
    294,435.92x = 65,136,841,304.21
  5. Step 5: Solve for x
    x = 65,136,841,304.21/294,435.92
  6. Step 6: Final answer
    x = 221,225.87

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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.