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Finding the Fourth Proportional to 477,957.16, 716,935.76 and 178,461.10

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Solution

The fourth proportional to 477,957.16, 716,935.76 and 178,461.10 is: 267,691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,957.16 : 716,935.76 = 178,461.10 : x
  2. Step 2: Convert to fraction form
    477,957.16/716,935.76 = 178,461.10/x
  3. Step 3: Cross multiply
    477,957.16x = 716,935.76 × 178,461.10
  4. Step 4: Simplify right side
    477,957.16x = 127,945,144,358.94
  5. Step 5: Solve for x
    x = 127,945,144,358.94/477,957.16
  6. Step 6: Final answer
    x = 267,691.66

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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.