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Finding the Fourth Proportional to 473,570.25, 710,355.83 and 132,000.03

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Solution

The fourth proportional to 473,570.25, 710,355.83 and 132,000.03 is: 198,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,570.25 : 710,355.83 = 132,000.03 : x
  2. Step 2: Convert to fraction form
    473,570.25/710,355.83 = 132,000.03/x
  3. Step 3: Cross multiply
    473,570.25x = 710,355.83 × 132,000.03
  4. Step 4: Simplify right side
    473,570.25x = 93,766,990,210.67
  5. Step 5: Solve for x
    x = 93,766,990,210.67/473,570.25
  6. Step 6: Final answer
    x = 198,000.17

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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.