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Finding the Fourth Proportional to 308,002.10, 462,003.15 and 174,830.90

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Solution

The fourth proportional to 308,002.10, 462,003.15 and 174,830.90 is: 262,246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,002.10 : 462,003.15 = 174,830.90 : x
  2. Step 2: Convert to fraction form
    308,002.10/462,003.15 = 174,830.90/x
  3. Step 3: Cross multiply
    308,002.10x = 462,003.15 × 174,830.90
  4. Step 4: Simplify right side
    308,002.10x = 80,772,426,517.34
  5. Step 5: Solve for x
    x = 80,772,426,517.34/308,002.10
  6. Step 6: Final answer
    x = 262,246.35

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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.