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Finding the Fourth Proportional to 432,330.66, 596,444.85 and 288,863.46

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Solution

The fourth proportional to 432,330.66, 596,444.85 and 288,863.46 is: 398,517.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,330.66 : 596,444.85 = 288,863.46 : x
  2. Step 2: Convert to fraction form
    432,330.66/596,444.85 = 288,863.46/x
  3. Step 3: Cross multiply
    432,330.66x = 596,444.85 × 288,863.46
  4. Step 4: Simplify right side
    432,330.66x = 172,291,123,070.18
  5. Step 5: Solve for x
    x = 172,291,123,070.18/432,330.66
  6. Step 6: Final answer
    x = 398,517.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.