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Finding the Fourth Proportional to 523,558.92, 785,144.40 and 186,510

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Solution

The fourth proportional to 523,558.92, 785,144.40 and 186,510 is: 279,695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,558.92 : 785,144.40 = 186,510 : x
  2. Step 2: Convert to fraction form
    523,558.92/785,144.40 = 186,510/x
  3. Step 3: Cross multiply
    523,558.92x = 785,144.40 × 186,510
  4. Step 4: Simplify right side
    523,558.92x = 146,437,282,044
  5. Step 5: Solve for x
    x = 146,437,282,044/523,558.92
  6. Step 6: Final answer
    x = 279,695.90

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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.