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Finding the Fourth Proportional to 710,304.32, 980,249.76 and 408,498.56

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Solution

The fourth proportional to 710,304.32, 980,249.76 and 408,498.56 is: 563,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,304.32 : 980,249.76 = 408,498.56 : x
  2. Step 2: Convert to fraction form
    710,304.32/980,249.76 = 408,498.56/x
  3. Step 3: Cross multiply
    710,304.32x = 980,249.76 × 408,498.56
  4. Step 4: Simplify right side
    710,304.32x = 400,430,615,400.35
  5. Step 5: Solve for x
    x = 400,430,615,400.35/710,304.32
  6. Step 6: Final answer
    x = 563,745.15

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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.