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Finding the Fourth Proportional to 477,643.34, 716,254.65 and 252,951.26

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Solution

The fourth proportional to 477,643.34, 716,254.65 and 252,951.26 is: 379,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,643.34 : 716,254.65 = 252,951.26 : x
  2. Step 2: Convert to fraction form
    477,643.34/716,254.65 = 252,951.26/x
  3. Step 3: Cross multiply
    477,643.34x = 716,254.65 × 252,951.26
  4. Step 4: Simplify right side
    477,643.34x = 181,177,516,198.36
  5. Step 5: Solve for x
    x = 181,177,516,198.36/477,643.34
  6. Step 6: Final answer
    x = 379,315.49

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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.