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Finding the Fourth Proportional to 582,376.40, 873,688.80 and 329,775.20

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Solution

The fourth proportional to 582,376.40, 873,688.80 and 329,775.20 is: 494,733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,376.40 : 873,688.80 = 329,775.20 : x
  2. Step 2: Convert to fraction form
    582,376.40/873,688.80 = 329,775.20/x
  3. Step 3: Cross multiply
    582,376.40x = 873,688.80 × 329,775.20
  4. Step 4: Simplify right side
    582,376.40x = 288,120,898,757.76
  5. Step 5: Solve for x
    x = 288,120,898,757.76/582,376.40
  6. Step 6: Final answer
    x = 494,733.13

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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.