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Finding the Fourth Proportional to 310,400.70, 465,601.05 and 123,412.20

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Solution

The fourth proportional to 310,400.70, 465,601.05 and 123,412.20 is: 185,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,400.70 : 465,601.05 = 123,412.20 : x
  2. Step 2: Convert to fraction form
    310,400.70/465,601.05 = 123,412.20/x
  3. Step 3: Cross multiply
    310,400.70x = 465,601.05 × 123,412.20
  4. Step 4: Simplify right side
    310,400.70x = 57,460,849,902.81
  5. Step 5: Solve for x
    x = 57,460,849,902.81/310,400.70
  6. Step 6: Final answer
    x = 185,118.30

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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.