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Finding the Fourth Proportional to 477,908.64, 716,758.95 and 157,984.92

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Solution

The fourth proportional to 477,908.64, 716,758.95 and 157,984.92 is: 236,943.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,908.64 : 716,758.95 = 157,984.92 : x
  2. Step 2: Convert to fraction form
    477,908.64/716,758.95 = 157,984.92/x
  3. Step 3: Cross multiply
    477,908.64x = 716,758.95 × 157,984.92
  4. Step 4: Simplify right side
    477,908.64x = 113,237,105,375.03
  5. Step 5: Solve for x
    x = 113,237,105,375.03/477,908.64
  6. Step 6: Final answer
    x = 236,943.00

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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.