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Finding the Fourth Proportional to 477,912.19, 716,870.17 and 193,608.12

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Solution

The fourth proportional to 477,912.19, 716,870.17 and 193,608.12 is: 290,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,912.19 : 716,870.17 = 193,608.12 : x
  2. Step 2: Convert to fraction form
    477,912.19/716,870.17 = 193,608.12/x
  3. Step 3: Cross multiply
    477,912.19x = 716,870.17 × 193,608.12
  4. Step 4: Simplify right side
    477,912.19x = 138,791,885,897.78
  5. Step 5: Solve for x
    x = 138,791,885,897.78/477,912.19
  6. Step 6: Final answer
    x = 290,412.94

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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.