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Finding the Fourth Proportional to 360,389.28, 497,347.59 and 199,254.74

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Solution

The fourth proportional to 360,389.28, 497,347.59 and 199,254.74 is: 274,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,389.28 : 497,347.59 = 199,254.74 : x
  2. Step 2: Convert to fraction form
    360,389.28/497,347.59 = 199,254.74/x
  3. Step 3: Cross multiply
    360,389.28x = 497,347.59 × 199,254.74
  4. Step 4: Simplify right side
    360,389.28x = 99,098,862,995.54
  5. Step 5: Solve for x
    x = 99,098,862,995.54/360,389.28
  6. Step 6: Final answer
    x = 274,977.27

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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.