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Finding the Fourth Proportional to 333,281.92, 459,857.92 and 197,358.56

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Solution

The fourth proportional to 333,281.92, 459,857.92 and 197,358.56 is: 272,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,281.92 : 459,857.92 = 197,358.56 : x
  2. Step 2: Convert to fraction form
    333,281.92/459,857.92 = 197,358.56/x
  3. Step 3: Cross multiply
    333,281.92x = 459,857.92 × 197,358.56
  4. Step 4: Simplify right side
    333,281.92x = 90,756,896,895.80
  5. Step 5: Solve for x
    x = 90,756,896,895.80/333,281.92
  6. Step 6: Final answer
    x = 272,312.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.