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Finding the Fourth Proportional to 510,084.94, 703,977.87 and 292,371.52

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Solution

The fourth proportional to 510,084.94, 703,977.87 and 292,371.52 is: 403,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,084.94 : 703,977.87 = 292,371.52 : x
  2. Step 2: Convert to fraction form
    510,084.94/703,977.87 = 292,371.52/x
  3. Step 3: Cross multiply
    510,084.94x = 703,977.87 × 292,371.52
  4. Step 4: Simplify right side
    510,084.94x = 205,823,079,898.26
  5. Step 5: Solve for x
    x = 205,823,079,898.26/510,084.94
  6. Step 6: Final answer
    x = 403,507.46

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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.