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Finding the Fourth Proportional to 477,816.54, 716,669.37 and 178,307.58

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Solution

The fourth proportional to 477,816.54, 716,669.37 and 178,307.58 is: 267,440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,816.54 : 716,669.37 = 178,307.58 : x
  2. Step 2: Convert to fraction form
    477,816.54/716,669.37 = 178,307.58/x
  3. Step 3: Cross multiply
    477,816.54x = 716,669.37 × 178,307.58
  4. Step 4: Simplify right side
    477,816.54x = 127,787,581,024.83
  5. Step 5: Solve for x
    x = 127,787,581,024.83/477,816.54
  6. Step 6: Final answer
    x = 267,440.68

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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.