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Finding the Fourth Proportional to 554,712.40, 832,116.13 and 194,851.97

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Solution

The fourth proportional to 554,712.40, 832,116.13 and 194,851.97 is: 292,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,712.40 : 832,116.13 = 194,851.97 : x
  2. Step 2: Convert to fraction form
    554,712.40/832,116.13 = 194,851.97/x
  3. Step 3: Cross multiply
    554,712.40x = 832,116.13 × 194,851.97
  4. Step 4: Simplify right side
    554,712.40x = 162,139,468,792.44
  5. Step 5: Solve for x
    x = 162,139,468,792.44/554,712.40
  6. Step 6: Final answer
    x = 292,294.65

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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.