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Finding the Fourth Proportional to 501,547.78, 752,443.20 and 288,452.08

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Solution

The fourth proportional to 501,547.78, 752,443.20 and 288,452.08 is: 432,748.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,547.78 : 752,443.20 = 288,452.08 : x
  2. Step 2: Convert to fraction form
    501,547.78/752,443.20 = 288,452.08/x
  3. Step 3: Cross multiply
    501,547.78x = 752,443.20 × 288,452.08
  4. Step 4: Simplify right side
    501,547.78x = 217,043,806,121.86
  5. Step 5: Solve for x
    x = 217,043,806,121.86/501,547.78
  6. Step 6: Final answer
    x = 432,748.01

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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.