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Finding the Fourth Proportional to 582,682.50, 874,024.02 and 161,962.02

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Solution

The fourth proportional to 582,682.50, 874,024.02 and 161,962.02 is: 242,943.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,682.50 : 874,024.02 = 161,962.02 : x
  2. Step 2: Convert to fraction form
    582,682.50/874,024.02 = 161,962.02/x
  3. Step 3: Cross multiply
    582,682.50x = 874,024.02 × 161,962.02
  4. Step 4: Simplify right side
    582,682.50x = 141,558,695,807.72
  5. Step 5: Solve for x
    x = 141,558,695,807.72/582,682.50
  6. Step 6: Final answer
    x = 242,943.11

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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.