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Finding the Fourth Proportional to 582,470.26, 873,830.04 and 329,870.14

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Solution

The fourth proportional to 582,470.26, 873,830.04 and 329,870.14 is: 494,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,470.26 : 873,830.04 = 329,870.14 : x
  2. Step 2: Convert to fraction form
    582,470.26/873,830.04 = 329,870.14/x
  3. Step 3: Cross multiply
    582,470.26x = 873,830.04 × 329,870.14
  4. Step 4: Simplify right side
    582,470.26x = 288,250,437,631.01
  5. Step 5: Solve for x
    x = 288,250,437,631.01/582,470.26
  6. Step 6: Final answer
    x = 494,875.80

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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.