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Finding the Fourth Proportional to 524,459.20, 786,718.08 and 150,472

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Solution

The fourth proportional to 524,459.20, 786,718.08 and 150,472 is: 225,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,459.20 : 786,718.08 = 150,472 : x
  2. Step 2: Convert to fraction form
    524,459.20/786,718.08 = 150,472/x
  3. Step 3: Cross multiply
    524,459.20x = 786,718.08 × 150,472
  4. Step 4: Simplify right side
    524,459.20x = 118,379,042,933.76
  5. Step 5: Solve for x
    x = 118,379,042,933.76/524,459.20
  6. Step 6: Final answer
    x = 225,716.40

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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.