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Finding the Fourth Proportional to 299,275.40, 448,913.10 and 77,659.40

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Solution

The fourth proportional to 299,275.40, 448,913.10 and 77,659.40 is: 116,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,275.40 : 448,913.10 = 77,659.40 : x
  2. Step 2: Convert to fraction form
    299,275.40/448,913.10 = 77,659.40/x
  3. Step 3: Cross multiply
    299,275.40x = 448,913.10 × 77,659.40
  4. Step 4: Simplify right side
    299,275.40x = 34,862,321,998.14
  5. Step 5: Solve for x
    x = 34,862,321,998.14/299,275.40
  6. Step 6: Final answer
    x = 116,489.10

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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.