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Finding the Fourth Proportional to 410,058.40, 615,087.60 and 343,703.20

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Solution

The fourth proportional to 410,058.40, 615,087.60 and 343,703.20 is: 515,554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,058.40 : 615,087.60 = 343,703.20 : x
  2. Step 2: Convert to fraction form
    410,058.40/615,087.60 = 343,703.20/x
  3. Step 3: Cross multiply
    410,058.40x = 615,087.60 × 343,703.20
  4. Step 4: Simplify right side
    410,058.40x = 211,407,576,400.32
  5. Step 5: Solve for x
    x = 211,407,576,400.32/410,058.40
  6. Step 6: Final answer
    x = 515,554.80

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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.