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Finding the Fourth Proportional to 524,641.16, 723,989 and 295,211.10

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Solution

The fourth proportional to 524,641.16, 723,989 and 295,211.10 is: 407,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,641.16 : 723,989 = 295,211.10 : x
  2. Step 2: Convert to fraction form
    524,641.16/723,989 = 295,211.10/x
  3. Step 3: Cross multiply
    524,641.16x = 723,989 × 295,211.10
  4. Step 4: Simplify right side
    524,641.16x = 213,729,589,077.90
  5. Step 5: Solve for x
    x = 213,729,589,077.90/524,641.16
  6. Step 6: Final answer
    x = 407,382.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.