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Finding the Fourth Proportional to 360,438.01, 497,362.12 and 199,283.44

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Solution

The fourth proportional to 360,438.01, 497,362.12 and 199,283.44 is: 274,987.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,438.01 : 497,362.12 = 199,283.44 : x
  2. Step 2: Convert to fraction form
    360,438.01/497,362.12 = 199,283.44/x
  3. Step 3: Cross multiply
    360,438.01x = 497,362.12 × 199,283.44
  4. Step 4: Simplify right side
    360,438.01x = 99,116,034,199.29
  5. Step 5: Solve for x
    x = 99,116,034,199.29/360,438.01
  6. Step 6: Final answer
    x = 274,987.74

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Double scale
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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.