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Finding the Fourth Proportional to 477,809.52, 716,594.76 and 140,783.28

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Solution

The fourth proportional to 477,809.52, 716,594.76 and 140,783.28 is: 211,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,809.52 : 716,594.76 = 140,783.28 : x
  2. Step 2: Convert to fraction form
    477,809.52/716,594.76 = 140,783.28/x
  3. Step 3: Cross multiply
    477,809.52x = 716,594.76 × 140,783.28
  4. Step 4: Simplify right side
    477,809.52x = 100,884,560,743.61
  5. Step 5: Solve for x
    x = 100,884,560,743.61/477,809.52
  6. Step 6: Final answer
    x = 211,139.70

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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.