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Finding the Fourth Proportional to 397,492.80, 596,034.40 and 148,046.40

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Solution

The fourth proportional to 397,492.80, 596,034.40 and 148,046.40 is: 221,993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,492.80 : 596,034.40 = 148,046.40 : x
  2. Step 2: Convert to fraction form
    397,492.80/596,034.40 = 148,046.40/x
  3. Step 3: Cross multiply
    397,492.80x = 596,034.40 × 148,046.40
  4. Step 4: Simplify right side
    397,492.80x = 88,240,747,196.16
  5. Step 5: Solve for x
    x = 88,240,747,196.16/397,492.80
  6. Step 6: Final answer
    x = 221,993.32

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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.