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Finding the Fourth Proportional to 398,082.60, 597,123.90 and 176,466.60

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Solution

The fourth proportional to 398,082.60, 597,123.90 and 176,466.60 is: 264,699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,082.60 : 597,123.90 = 176,466.60 : x
  2. Step 2: Convert to fraction form
    398,082.60/597,123.90 = 176,466.60/x
  3. Step 3: Cross multiply
    398,082.60x = 597,123.90 × 176,466.60
  4. Step 4: Simplify right side
    398,082.60x = 105,372,424,411.74
  5. Step 5: Solve for x
    x = 105,372,424,411.74/398,082.60
  6. Step 6: Final answer
    x = 264,699.90

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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.