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Finding the Fourth Proportional to 360,647.47, 497,693.46 and 197,305.30

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Solution

The fourth proportional to 360,647.47, 497,693.46 and 197,305.30 is: 272,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,647.47 : 497,693.46 = 197,305.30 : x
  2. Step 2: Convert to fraction form
    360,647.47/497,693.46 = 197,305.30/x
  3. Step 3: Cross multiply
    360,647.47x = 497,693.46 × 197,305.30
  4. Step 4: Simplify right side
    360,647.47x = 98,197,557,433.34
  5. Step 5: Solve for x
    x = 98,197,557,433.34/360,647.47
  6. Step 6: Final answer
    x = 272,281.29

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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.