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Finding the Fourth Proportional to 653,644.66, 980,523.47 and 180,330.02

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Solution

The fourth proportional to 653,644.66, 980,523.47 and 180,330.02 is: 270,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,644.66 : 980,523.47 = 180,330.02 : x
  2. Step 2: Convert to fraction form
    653,644.66/980,523.47 = 180,330.02/x
  3. Step 3: Cross multiply
    653,644.66x = 980,523.47 × 180,330.02
  4. Step 4: Simplify right side
    653,644.66x = 176,817,811,151.30
  5. Step 5: Solve for x
    x = 176,817,811,151.30/653,644.66
  6. Step 6: Final answer
    x = 270,510.60

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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.