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Finding the Fourth Proportional to 473,711.36, 710,567.06 and 132,141.40

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Solution

The fourth proportional to 473,711.36, 710,567.06 and 132,141.40 is: 198,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,711.36 : 710,567.06 = 132,141.40 : x
  2. Step 2: Convert to fraction form
    473,711.36/710,567.06 = 132,141.40/x
  3. Step 3: Cross multiply
    473,711.36x = 710,567.06 × 132,141.40
  4. Step 4: Simplify right side
    473,711.36x = 93,895,326,102.28
  5. Step 5: Solve for x
    x = 93,895,326,102.28/473,711.36
  6. Step 6: Final answer
    x = 198,212.11

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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.