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Finding the Fourth Proportional to 463,008, 694,510.32 and 147,490.32

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Solution

The fourth proportional to 463,008, 694,510.32 and 147,490.32 is: 221,234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,008 : 694,510.32 = 147,490.32 : x
  2. Step 2: Convert to fraction form
    463,008/694,510.32 = 147,490.32/x
  3. Step 3: Cross multiply
    463,008x = 694,510.32 × 147,490.32
  4. Step 4: Simplify right side
    463,008x = 102,433,549,340.10
  5. Step 5: Solve for x
    x = 102,433,549,340.10/463,008
  6. Step 6: Final answer
    x = 221,234.94

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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.