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Finding the Fourth Proportional to 523,133.12, 784,155.36 and 242,419.52

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Solution

The fourth proportional to 523,133.12, 784,155.36 and 242,419.52 is: 363,377.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,133.12 : 784,155.36 = 242,419.52 : x
  2. Step 2: Convert to fraction form
    523,133.12/784,155.36 = 242,419.52/x
  3. Step 3: Cross multiply
    523,133.12x = 784,155.36 × 242,419.52
  4. Step 4: Simplify right side
    523,133.12x = 190,094,565,976.63
  5. Step 5: Solve for x
    x = 190,094,565,976.63/523,133.12
  6. Step 6: Final answer
    x = 363,377.04

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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.