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Finding the Fourth Proportional to 299,088.36, 448,708.14 and 99,409.73

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Solution

The fourth proportional to 299,088.36, 448,708.14 and 99,409.73 is: 149,139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,088.36 : 448,708.14 = 99,409.73 : x
  2. Step 2: Convert to fraction form
    299,088.36/448,708.14 = 99,409.73/x
  3. Step 3: Cross multiply
    299,088.36x = 448,708.14 × 99,409.73
  4. Step 4: Simplify right side
    299,088.36x = 44,605,952,802.66
  5. Step 5: Solve for x
    x = 44,605,952,802.66/299,088.36
  6. Step 6: Final answer
    x = 149,139.72

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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.