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Finding the Fourth Proportional to 519,871.14, 717,422.16 and 281,407.14

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Solution

The fourth proportional to 519,871.14, 717,422.16 and 281,407.14 is: 388,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,871.14 : 717,422.16 = 281,407.14 : x
  2. Step 2: Convert to fraction form
    519,871.14/717,422.16 = 281,407.14/x
  3. Step 3: Cross multiply
    519,871.14x = 717,422.16 × 281,407.14
  4. Step 4: Simplify right side
    519,871.14x = 201,887,718,218.22
  5. Step 5: Solve for x
    x = 201,887,718,218.22/519,871.14
  6. Step 6: Final answer
    x = 388,341.85

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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.