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Finding the Fourth Proportional to 582,855.68, 873,018.02 and 282,705.42

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Solution

The fourth proportional to 582,855.68, 873,018.02 and 282,705.42 is: 423,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,855.68 : 873,018.02 = 282,705.42 : x
  2. Step 2: Convert to fraction form
    582,855.68/873,018.02 = 282,705.42/x
  3. Step 3: Cross multiply
    582,855.68x = 873,018.02 × 282,705.42
  4. Step 4: Simplify right side
    582,855.68x = 246,806,924,598.14
  5. Step 5: Solve for x
    x = 246,806,924,598.14/582,855.68
  6. Step 6: Final answer
    x = 423,444.32

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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.