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Finding the Fourth Proportional to 398,867.80, 598,301.70 and 286,893.40

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Solution

The fourth proportional to 398,867.80, 598,301.70 and 286,893.40 is: 430,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,867.80 : 598,301.70 = 286,893.40 : x
  2. Step 2: Convert to fraction form
    398,867.80/598,301.70 = 286,893.40/x
  3. Step 3: Cross multiply
    398,867.80x = 598,301.70 × 286,893.40
  4. Step 4: Simplify right side
    398,867.80x = 171,648,808,938.78
  5. Step 5: Solve for x
    x = 171,648,808,938.78/398,867.80
  6. Step 6: Final answer
    x = 430,340.10

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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.