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Finding the Fourth Proportional to 506,722.80, 760,040.46 and 151,816.44

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Solution

The fourth proportional to 506,722.80, 760,040.46 and 151,816.44 is: 227,711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,722.80 : 760,040.46 = 151,816.44 : x
  2. Step 2: Convert to fraction form
    506,722.80/760,040.46 = 151,816.44/x
  3. Step 3: Cross multiply
    506,722.80x = 760,040.46 × 151,816.44
  4. Step 4: Simplify right side
    506,722.80x = 115,386,636,893.16
  5. Step 5: Solve for x
    x = 115,386,636,893.16/506,722.80
  6. Step 6: Final answer
    x = 227,711.56

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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.