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Finding the Fourth Proportional to 473,641.28, 710,462.37 and 132,071.06

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Solution

The fourth proportional to 473,641.28, 710,462.37 and 132,071.06 is: 198,106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,641.28 : 710,462.37 = 132,071.06 : x
  2. Step 2: Convert to fraction form
    473,641.28/710,462.37 = 132,071.06/x
  3. Step 3: Cross multiply
    473,641.28x = 710,462.37 × 132,071.06
  4. Step 4: Simplify right side
    473,641.28x = 93,831,518,296.01
  5. Step 5: Solve for x
    x = 93,831,518,296.01/473,641.28
  6. Step 6: Final answer
    x = 198,106.72

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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.