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Finding the Fourth Proportional to 285,514.80, 428,171.40 and 98,482.80

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Solution

The fourth proportional to 285,514.80, 428,171.40 and 98,482.80 is: 147,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,514.80 : 428,171.40 = 98,482.80 : x
  2. Step 2: Convert to fraction form
    285,514.80/428,171.40 = 98,482.80/x
  3. Step 3: Cross multiply
    285,514.80x = 428,171.40 × 98,482.80
  4. Step 4: Simplify right side
    285,514.80x = 42,167,518,351.92
  5. Step 5: Solve for x
    x = 42,167,518,351.92/285,514.80
  6. Step 6: Final answer
    x = 147,689.43

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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.