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Finding the Fourth Proportional to 310,088.10, 465,132.15 and 305,940.90

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Solution

The fourth proportional to 310,088.10, 465,132.15 and 305,940.90 is: 458,911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,088.10 : 465,132.15 = 305,940.90 : x
  2. Step 2: Convert to fraction form
    310,088.10/465,132.15 = 305,940.90/x
  3. Step 3: Cross multiply
    310,088.10x = 465,132.15 × 305,940.90
  4. Step 4: Simplify right side
    310,088.10x = 142,302,948,589.94
  5. Step 5: Solve for x
    x = 142,302,948,589.94/310,088.10
  6. Step 6: Final answer
    x = 458,911.35

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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.