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Finding the Fourth Proportional to 516,409.75, 712,712.28 and 290,055.25

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Solution

The fourth proportional to 516,409.75, 712,712.28 and 290,055.25 is: 400,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,409.75 : 712,712.28 = 290,055.25 : x
  2. Step 2: Convert to fraction form
    516,409.75/712,712.28 = 290,055.25/x
  3. Step 3: Cross multiply
    516,409.75x = 712,712.28 × 290,055.25
  4. Step 4: Simplify right side
    516,409.75x = 206,725,938,553.47
  5. Step 5: Solve for x
    x = 206,725,938,553.47/516,409.75
  6. Step 6: Final answer
    x = 400,313.78

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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.