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Finding the Fourth Proportional to 360,559.10, 497,569.01 and 199,408.16

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Solution

The fourth proportional to 360,559.10, 497,569.01 and 199,408.16 is: 275,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,559.10 : 497,569.01 = 199,408.16 : x
  2. Step 2: Convert to fraction form
    360,559.10/497,569.01 = 199,408.16/x
  3. Step 3: Cross multiply
    360,559.10x = 497,569.01 × 199,408.16
  4. Step 4: Simplify right side
    360,559.10x = 99,219,317,272.24
  5. Step 5: Solve for x
    x = 99,219,317,272.24/360,559.10
  6. Step 6: Final answer
    x = 275,181.85

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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.