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Finding the Fourth Proportional to 553,140.80, 829,711.20 and 198,166.40

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Solution

The fourth proportional to 553,140.80, 829,711.20 and 198,166.40 is: 297,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,140.80 : 829,711.20 = 198,166.40 : x
  2. Step 2: Convert to fraction form
    553,140.80/829,711.20 = 198,166.40/x
  3. Step 3: Cross multiply
    553,140.80x = 829,711.20 × 198,166.40
  4. Step 4: Simplify right side
    553,140.80x = 164,420,881,543.68
  5. Step 5: Solve for x
    x = 164,420,881,543.68/553,140.80
  6. Step 6: Final answer
    x = 297,249.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.