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Finding the Fourth Proportional to 524,032.17, 786,214.40 and 187,065.60

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Solution

The fourth proportional to 524,032.17, 786,214.40 and 187,065.60 is: 280,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,032.17 : 786,214.40 = 187,065.60 : x
  2. Step 2: Convert to fraction form
    524,032.17/786,214.40 = 187,065.60/x
  3. Step 3: Cross multiply
    524,032.17x = 786,214.40 × 187,065.60
  4. Step 4: Simplify right side
    524,032.17x = 147,073,668,464.64
  5. Step 5: Solve for x
    x = 147,073,668,464.64/524,032.17
  6. Step 6: Final answer
    x = 280,657.71

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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.