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Finding the Fourth Proportional to 311,312.10, 466,968.15 and 185,340.90

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Solution

The fourth proportional to 311,312.10, 466,968.15 and 185,340.90 is: 278,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,312.10 : 466,968.15 = 185,340.90 : x
  2. Step 2: Convert to fraction form
    311,312.10/466,968.15 = 185,340.90/x
  3. Step 3: Cross multiply
    311,312.10x = 466,968.15 × 185,340.90
  4. Step 4: Simplify right side
    311,312.10x = 86,548,297,192.34
  5. Step 5: Solve for x
    x = 86,548,297,192.34/311,312.10
  6. Step 6: Final answer
    x = 278,011.35

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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.