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Finding the Fourth Proportional to 357,262.50, 492,921.24 and 230,011.76

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Solution

The fourth proportional to 357,262.50, 492,921.24 and 230,011.76 is: 317,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,262.50 : 492,921.24 = 230,011.76 : x
  2. Step 2: Convert to fraction form
    357,262.50/492,921.24 = 230,011.76/x
  3. Step 3: Cross multiply
    357,262.50x = 492,921.24 × 230,011.76
  4. Step 4: Simplify right side
    357,262.50x = 113,377,681,953.78
  5. Step 5: Solve for x
    x = 113,377,681,953.78/357,262.50
  6. Step 6: Final answer
    x = 317,351.20

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1.5x scale

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.