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Finding the Fourth Proportional to 598,027.32, 897,040.95 and 410,470.20

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Solution

The fourth proportional to 598,027.32, 897,040.95 and 410,470.20 is: 615,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,027.32 : 897,040.95 = 410,470.20 : x
  2. Step 2: Convert to fraction form
    598,027.32/897,040.95 = 410,470.20/x
  3. Step 3: Cross multiply
    598,027.32x = 897,040.95 × 410,470.20
  4. Step 4: Simplify right side
    598,027.32x = 368,208,578,154.69
  5. Step 5: Solve for x
    x = 368,208,578,154.69/598,027.32
  6. Step 6: Final answer
    x = 615,705.28

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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.