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Finding the Fourth Proportional to 310,903.50, 466,367.40 and 97,816.80

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Solution

The fourth proportional to 310,903.50, 466,367.40 and 97,816.80 is: 146,729.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,903.50 : 466,367.40 = 97,816.80 : x
  2. Step 2: Convert to fraction form
    310,903.50/466,367.40 = 97,816.80/x
  3. Step 3: Cross multiply
    310,903.50x = 466,367.40 × 97,816.80
  4. Step 4: Simplify right side
    310,903.50x = 45,618,566,692.32
  5. Step 5: Solve for x
    x = 45,618,566,692.32/310,903.50
  6. Step 6: Final answer
    x = 146,729.02

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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.