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Finding the Fourth Proportional to 473,580.40, 710,418.12 and 136,629.40

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Solution

The fourth proportional to 473,580.40, 710,418.12 and 136,629.40 is: 204,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,580.40 : 710,418.12 = 136,629.40 : x
  2. Step 2: Convert to fraction form
    473,580.40/710,418.12 = 136,629.40/x
  3. Step 3: Cross multiply
    473,580.40x = 710,418.12 × 136,629.40
  4. Step 4: Simplify right side
    473,580.40x = 97,064,001,484.73
  5. Step 5: Solve for x
    x = 97,064,001,484.73/473,580.40
  6. Step 6: Final answer
    x = 204,957.81

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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.