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Finding the Fourth Proportional to 430,755.01, 646,132.66 and 193,820.90

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Solution

The fourth proportional to 430,755.01, 646,132.66 and 193,820.90 is: 290,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,755.01 : 646,132.66 = 193,820.90 : x
  2. Step 2: Convert to fraction form
    430,755.01/646,132.66 = 193,820.90/x
  3. Step 3: Cross multiply
    430,755.01x = 646,132.66 × 193,820.90
  4. Step 4: Simplify right side
    430,755.01x = 125,234,009,965.38
  5. Step 5: Solve for x
    x = 125,234,009,965.38/430,755.01
  6. Step 6: Final answer
    x = 290,731.41

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1.5x scale

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.