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Finding the Fourth Proportional to 520,065.70, 780,098.55 and 362,472.10

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Solution

The fourth proportional to 520,065.70, 780,098.55 and 362,472.10 is: 543,708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,065.70 : 780,098.55 = 362,472.10 : x
  2. Step 2: Convert to fraction form
    520,065.70/780,098.55 = 362,472.10/x
  3. Step 3: Cross multiply
    520,065.70x = 780,098.55 × 362,472.10
  4. Step 4: Simplify right side
    520,065.70x = 282,763,959,625.46
  5. Step 5: Solve for x
    x = 282,763,959,625.46/520,065.70
  6. Step 6: Final answer
    x = 543,708.15

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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.