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Finding the Fourth Proportional to 294,445.95, 406,304.90 and 165,398.91

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Solution

The fourth proportional to 294,445.95, 406,304.90 and 165,398.91 is: 228,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,445.95 : 406,304.90 = 165,398.91 : x
  2. Step 2: Convert to fraction form
    294,445.95/406,304.90 = 165,398.91/x
  3. Step 3: Cross multiply
    294,445.95x = 406,304.90 × 165,398.91
  4. Step 4: Simplify right side
    294,445.95x = 67,202,386,760.66
  5. Step 5: Solve for x
    x = 67,202,386,760.66/294,445.95
  6. Step 6: Final answer
    x = 228,233.35

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1.5x scale

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.