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Finding the Fourth Proportional to 398,416.95, 596,641.28 and 296,971.74

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Solution

The fourth proportional to 398,416.95, 596,641.28 and 296,971.74 is: 444,724.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,416.95 : 596,641.28 = 296,971.74 : x
  2. Step 2: Convert to fraction form
    398,416.95/596,641.28 = 296,971.74/x
  3. Step 3: Cross multiply
    398,416.95x = 596,641.28 × 296,971.74
  4. Step 4: Simplify right side
    398,416.95x = 177,185,597,592.57
  5. Step 5: Solve for x
    x = 177,185,597,592.57/398,416.95
  6. Step 6: Final answer
    x = 444,724.04

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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.