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Finding the Fourth Proportional to 523,588.82, 784,656.50 and 238,582.85

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Solution

The fourth proportional to 523,588.82, 784,656.50 and 238,582.85 is: 357,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,588.82 : 784,656.50 = 238,582.85 : x
  2. Step 2: Convert to fraction form
    523,588.82/784,656.50 = 238,582.85/x
  3. Step 3: Cross multiply
    523,588.82x = 784,656.50 × 238,582.85
  4. Step 4: Simplify right side
    523,588.82x = 187,205,578,924.83
  5. Step 5: Solve for x
    x = 187,205,578,924.83/523,588.82
  6. Step 6: Final answer
    x = 357,543.12

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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.