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Finding the Fourth Proportional to 310,954.50, 466,443.90 and 97,867.80

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Solution

The fourth proportional to 310,954.50, 466,443.90 and 97,867.80 is: 146,805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,954.50 : 466,443.90 = 97,867.80 : x
  2. Step 2: Convert to fraction form
    310,954.50/466,443.90 = 97,867.80/x
  3. Step 3: Cross multiply
    310,954.50x = 466,443.90 × 97,867.80
  4. Step 4: Simplify right side
    310,954.50x = 45,649,838,316.42
  5. Step 5: Solve for x
    x = 45,649,838,316.42/310,954.50
  6. Step 6: Final answer
    x = 146,805.52

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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.