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Finding the Fourth Proportional to 288,411.40, 432,617.10 and 267,416.20

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Solution

The fourth proportional to 288,411.40, 432,617.10 and 267,416.20 is: 401,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,411.40 : 432,617.10 = 267,416.20 : x
  2. Step 2: Convert to fraction form
    288,411.40/432,617.10 = 267,416.20/x
  3. Step 3: Cross multiply
    288,411.40x = 432,617.10 × 267,416.20
  4. Step 4: Simplify right side
    288,411.40x = 115,688,820,937.02
  5. Step 5: Solve for x
    x = 115,688,820,937.02/288,411.40
  6. Step 6: Final answer
    x = 401,124.30

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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.