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Finding the Fourth Proportional to 310,074.30, 465,111.45 and 270,708.30

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Solution

The fourth proportional to 310,074.30, 465,111.45 and 270,708.30 is: 406,062.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,074.30 : 465,111.45 = 270,708.30 : x
  2. Step 2: Convert to fraction form
    310,074.30/465,111.45 = 270,708.30/x
  3. Step 3: Cross multiply
    310,074.30x = 465,111.45 × 270,708.30
  4. Step 4: Simplify right side
    310,074.30x = 125,909,529,940.04
  5. Step 5: Solve for x
    x = 125,909,529,940.04/310,074.30
  6. Step 6: Final answer
    x = 406,062.45

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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.