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Finding the Fourth Proportional to 477,541.76, 716,066.13 and 140,538.65

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Solution

The fourth proportional to 477,541.76, 716,066.13 and 140,538.65 is: 210,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,541.76 : 716,066.13 = 140,538.65 : x
  2. Step 2: Convert to fraction form
    477,541.76/716,066.13 = 140,538.65/x
  3. Step 3: Cross multiply
    477,541.76x = 716,066.13 × 140,538.65
  4. Step 4: Simplify right side
    477,541.76x = 100,634,967,220.93
  5. Step 5: Solve for x
    x = 100,634,967,220.93/477,541.76
  6. Step 6: Final answer
    x = 210,735.43

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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.