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Finding the Fourth Proportional to 553,114.80, 829,672.20 and 198,000.68

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Solution

The fourth proportional to 553,114.80, 829,672.20 and 198,000.68 is: 297,001.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,114.80 : 829,672.20 = 198,000.68 : x
  2. Step 2: Convert to fraction form
    553,114.80/829,672.20 = 198,000.68/x
  3. Step 3: Cross multiply
    553,114.80x = 829,672.20 × 198,000.68
  4. Step 4: Simplify right side
    553,114.80x = 164,275,655,628.74
  5. Step 5: Solve for x
    x = 164,275,655,628.74/553,114.80
  6. Step 6: Final answer
    x = 297,001.01

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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.