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Finding the Fourth Proportional to 295,026.71, 442,205.12 and 259,419.11

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Solution

The fourth proportional to 295,026.71, 442,205.12 and 259,419.11 is: 388,834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,026.71 : 442,205.12 = 259,419.11 : x
  2. Step 2: Convert to fraction form
    295,026.71/442,205.12 = 259,419.11/x
  3. Step 3: Cross multiply
    295,026.71x = 442,205.12 × 259,419.11
  4. Step 4: Simplify right side
    295,026.71x = 114,716,457,105.37
  5. Step 5: Solve for x
    x = 114,716,457,105.37/295,026.71
  6. Step 6: Final answer
    x = 388,834.15

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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.