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Finding the Fourth Proportional to 524,471.60, 786,246.60 and 314,193.20

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Solution

The fourth proportional to 524,471.60, 786,246.60 and 314,193.20 is: 471,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,471.60 : 786,246.60 = 314,193.20 : x
  2. Step 2: Convert to fraction form
    524,471.60/786,246.60 = 314,193.20/x
  3. Step 3: Cross multiply
    524,471.60x = 786,246.60 × 314,193.20
  4. Step 4: Simplify right side
    524,471.60x = 247,033,335,243.12
  5. Step 5: Solve for x
    x = 247,033,335,243.12/524,471.60
  6. Step 6: Final answer
    x = 471,013.75

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1.5x scale

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.