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Finding the Fourth Proportional to 553,117.70, 829,764.03 and 198,123.86

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Solution

The fourth proportional to 553,117.70, 829,764.03 and 198,123.86 is: 297,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,117.70 : 829,764.03 = 198,123.86 : x
  2. Step 2: Convert to fraction form
    553,117.70/829,764.03 = 198,123.86/x
  3. Step 3: Cross multiply
    553,117.70x = 829,764.03 × 198,123.86
  4. Step 4: Simplify right side
    553,117.70x = 164,396,055,330.13
  5. Step 5: Solve for x
    x = 164,396,055,330.13/553,117.70
  6. Step 6: Final answer
    x = 297,217.13

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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.