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Finding the Fourth Proportional to 384,624.33, 577,064.67 and 242,305.30

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Solution

The fourth proportional to 384,624.33, 577,064.67 and 242,305.30 is: 363,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,624.33 : 577,064.67 = 242,305.30 : x
  2. Step 2: Convert to fraction form
    384,624.33/577,064.67 = 242,305.30/x
  3. Step 3: Cross multiply
    384,624.33x = 577,064.67 × 242,305.30
  4. Step 4: Simplify right side
    384,624.33x = 139,825,827,983.75
  5. Step 5: Solve for x
    x = 139,825,827,983.75/384,624.33
  6. Step 6: Final answer
    x = 363,538.70

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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.