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Finding the Fourth Proportional to 477,952.16, 716,928.26 and 178,456.10

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Solution

The fourth proportional to 477,952.16, 716,928.26 and 178,456.10 is: 267,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,952.16 : 716,928.26 = 178,456.10 : x
  2. Step 2: Convert to fraction form
    477,952.16/716,928.26 = 178,456.10/x
  3. Step 3: Cross multiply
    477,952.16x = 716,928.26 × 178,456.10
  4. Step 4: Simplify right side
    477,952.16x = 127,940,216,782.46
  5. Step 5: Solve for x
    x = 127,940,216,782.46/477,952.16
  6. Step 6: Final answer
    x = 267,684.15

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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.