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Finding the Fourth Proportional to 477,309.90, 716,276.50 and 178,029.89

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Solution

The fourth proportional to 477,309.90, 716,276.50 and 178,029.89 is: 267,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,309.90 : 716,276.50 = 178,029.89 : x
  2. Step 2: Convert to fraction form
    477,309.90/716,276.50 = 178,029.89/x
  3. Step 3: Cross multiply
    477,309.90x = 716,276.50 × 178,029.89
  4. Step 4: Simplify right side
    477,309.90x = 127,518,625,164.17
  5. Step 5: Solve for x
    x = 127,518,625,164.17/477,309.90
  6. Step 6: Final answer
    x = 267,161.07

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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.