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Finding the Fourth Proportional to 288,309.78, 432,464.67 and 130,534.74

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Solution

The fourth proportional to 288,309.78, 432,464.67 and 130,534.74 is: 195,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,309.78 : 432,464.67 = 130,534.74 : x
  2. Step 2: Convert to fraction form
    288,309.78/432,464.67 = 130,534.74/x
  3. Step 3: Cross multiply
    288,309.78x = 432,464.67 × 130,534.74
  4. Step 4: Simplify right side
    288,309.78x = 56,451,663,257.64
  5. Step 5: Solve for x
    x = 56,451,663,257.64/288,309.78
  6. Step 6: Final answer
    x = 195,802.11

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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.