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Finding the Fourth Proportional to 360,458.42, 497,468.92 and 199,325.66

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Solution

The fourth proportional to 360,458.42, 497,468.92 and 199,325.66 is: 275,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,458.42 : 497,468.92 = 199,325.66 : x
  2. Step 2: Convert to fraction form
    360,458.42/497,468.92 = 199,325.66/x
  3. Step 3: Cross multiply
    360,458.42x = 497,468.92 × 199,325.66
  4. Step 4: Simplify right side
    360,458.42x = 99,158,317,822.83
  5. Step 5: Solve for x
    x = 99,158,317,822.83/360,458.42
  6. Step 6: Final answer
    x = 275,089.48

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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.