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Finding the Fourth Proportional to 477,857.60, 716,910.53 and 178,340.46

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Solution

The fourth proportional to 477,857.60, 716,910.53 and 178,340.46 is: 267,557.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,857.60 : 716,910.53 = 178,340.46 : x
  2. Step 2: Convert to fraction form
    477,857.60/716,910.53 = 178,340.46/x
  3. Step 3: Cross multiply
    477,857.60x = 716,910.53 × 178,340.46
  4. Step 4: Simplify right side
    477,857.60x = 127,854,153,699.04
  5. Step 5: Solve for x
    x = 127,854,153,699.04/477,857.60
  6. Step 6: Final answer
    x = 267,557.02

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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.