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Finding the Fourth Proportional to 523,079.11, 784,501.90 and 242,559.91

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Solution

The fourth proportional to 523,079.11, 784,501.90 and 242,559.91 is: 363,785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,079.11 : 784,501.90 = 242,559.91 : x
  2. Step 2: Convert to fraction form
    523,079.11/784,501.90 = 242,559.91/x
  3. Step 3: Cross multiply
    523,079.11x = 784,501.90 × 242,559.91
  4. Step 4: Simplify right side
    523,079.11x = 190,288,710,258.83
  5. Step 5: Solve for x
    x = 190,288,710,258.83/523,079.11
  6. Step 6: Final answer
    x = 363,785.72

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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.