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Finding the Fourth Proportional to 310,124.40, 464,891.28 and 99,614.76

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Solution

The fourth proportional to 310,124.40, 464,891.28 and 99,614.76 is: 149,327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,124.40 : 464,891.28 = 99,614.76 : x
  2. Step 2: Convert to fraction form
    310,124.40/464,891.28 = 99,614.76/x
  3. Step 3: Cross multiply
    310,124.40x = 464,891.28 × 99,614.76
  4. Step 4: Simplify right side
    310,124.40x = 46,310,033,283.29
  5. Step 5: Solve for x
    x = 46,310,033,283.29/310,124.40
  6. Step 6: Final answer
    x = 149,327.28

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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.