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Finding the Fourth Proportional to 803,001, 1,204,968.06 and 359,769

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Solution

The fourth proportional to 803,001, 1,204,968.06 and 359,769 is: 539,862.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,001 : 1,204,968.06 = 359,769 : x
  2. Step 2: Convert to fraction form
    803,001/1,204,968.06 = 359,769/x
  3. Step 3: Cross multiply
    803,001x = 1,204,968.06 × 359,769
  4. Step 4: Simplify right side
    803,001x = 433,510,153,978.14
  5. Step 5: Solve for x
    x = 433,510,153,978.14/803,001
  6. Step 6: Final answer
    x = 539,862.53

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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.