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Finding the Fourth Proportional to 372,409, 513,920.10 and 202,640.20

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Solution

The fourth proportional to 372,409, 513,920.10 and 202,640.20 is: 279,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,409 : 513,920.10 = 202,640.20 : x
  2. Step 2: Convert to fraction form
    372,409/513,920.10 = 202,640.20/x
  3. Step 3: Cross multiply
    372,409x = 513,920.10 × 202,640.20
  4. Step 4: Simplify right side
    372,409x = 104,140,871,848.02
  5. Step 5: Solve for x
    x = 104,140,871,848.02/372,409
  6. Step 6: Final answer
    x = 279,641.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.