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Finding the Fourth Proportional to 385,712.61, 578,606.96 and 132,959.82

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Solution

The fourth proportional to 385,712.61, 578,606.96 and 132,959.82 is: 199,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,712.61 : 578,606.96 = 132,959.82 : x
  2. Step 2: Convert to fraction form
    385,712.61/578,606.96 = 132,959.82/x
  3. Step 3: Cross multiply
    385,712.61x = 578,606.96 × 132,959.82
  4. Step 4: Simplify right side
    385,712.61x = 76,931,477,252.35
  5. Step 5: Solve for x
    x = 76,931,477,252.35/385,712.61
  6. Step 6: Final answer
    x = 199,452.84

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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.