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Finding the Fourth Proportional to 278,030.54, 416,569.77 and 151,759.46

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Solution

The fourth proportional to 278,030.54, 416,569.77 and 151,759.46 is: 227,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,030.54 : 416,569.77 = 151,759.46 : x
  2. Step 2: Convert to fraction form
    278,030.54/416,569.77 = 151,759.46/x
  3. Step 3: Cross multiply
    278,030.54x = 416,569.77 × 151,759.46
  4. Step 4: Simplify right side
    278,030.54x = 63,218,401,264.68
  5. Step 5: Solve for x
    x = 63,218,401,264.68/278,030.54
  6. Step 6: Final answer
    x = 227,379.35

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1.5x scale

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.