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Finding the Fourth Proportional to 501,393.60, 752,009.76 and 146,324.40

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Solution

The fourth proportional to 501,393.60, 752,009.76 and 146,324.40 is: 219,463.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,393.60 : 752,009.76 = 146,324.40 : x
  2. Step 2: Convert to fraction form
    501,393.60/752,009.76 = 146,324.40/x
  3. Step 3: Cross multiply
    501,393.60x = 752,009.76 × 146,324.40
  4. Step 4: Simplify right side
    501,393.60x = 110,037,376,926.14
  5. Step 5: Solve for x
    x = 110,037,376,926.14/501,393.60
  6. Step 6: Final answer
    x = 219,463.07

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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.