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Finding the Fourth Proportional to 310,112.40, 464,873.31 and 99,602.73

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Solution

The fourth proportional to 310,112.40, 464,873.31 and 99,602.73 is: 149,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,112.40 : 464,873.31 = 99,602.73 : x
  2. Step 2: Convert to fraction form
    310,112.40/464,873.31 = 99,602.73/x
  3. Step 3: Cross multiply
    310,112.40x = 464,873.31 × 99,602.73
  4. Step 4: Simplify right side
    310,112.40x = 46,302,650,780.14
  5. Step 5: Solve for x
    x = 46,302,650,780.14/310,112.40
  6. Step 6: Final answer
    x = 149,309.25

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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.