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Finding the Fourth Proportional to 598,415.30, 898,206.15 and 299,233.70

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Solution

The fourth proportional to 598,415.30, 898,206.15 and 299,233.70 is: 449,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,415.30 : 898,206.15 = 299,233.70 : x
  2. Step 2: Convert to fraction form
    598,415.30/898,206.15 = 299,233.70/x
  3. Step 3: Cross multiply
    598,415.30x = 898,206.15 × 299,233.70
  4. Step 4: Simplify right side
    598,415.30x = 268,773,549,627.26
  5. Step 5: Solve for x
    x = 268,773,549,627.26/598,415.30
  6. Step 6: Final answer
    x = 449,142.18

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1.5x scale

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.