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Finding the Fourth Proportional to 477,641.25, 716,438.50 and 178,098.47

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Solution

The fourth proportional to 477,641.25, 716,438.50 and 178,098.47 is: 267,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,641.25 : 716,438.50 = 178,098.47 : x
  2. Step 2: Convert to fraction form
    477,641.25/716,438.50 = 178,098.47/x
  3. Step 3: Cross multiply
    477,641.25x = 716,438.50 × 178,098.47
  4. Step 4: Simplify right side
    477,641.25x = 127,596,597,673.46
  5. Step 5: Solve for x
    x = 127,596,597,673.46/477,641.25
  6. Step 6: Final answer
    x = 267,138.98

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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.