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Finding the Fourth Proportional to 301,127.28, 414,512.70 and 260,272.80

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Solution

The fourth proportional to 301,127.28, 414,512.70 and 260,272.80 is: 358,275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,127.28 : 414,512.70 = 260,272.80 : x
  2. Step 2: Convert to fraction form
    301,127.28/414,512.70 = 260,272.80/x
  3. Step 3: Cross multiply
    301,127.28x = 414,512.70 × 260,272.80
  4. Step 4: Simplify right side
    301,127.28x = 107,886,381,064.56
  5. Step 5: Solve for x
    x = 107,886,381,064.56/301,127.28
  6. Step 6: Final answer
    x = 358,275.02

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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.