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Finding the Fourth Proportional to 293,838.66, 440,386.20 and 144,043.74

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Solution

The fourth proportional to 293,838.66, 440,386.20 and 144,043.74 is: 215,883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,838.66 : 440,386.20 = 144,043.74 : x
  2. Step 2: Convert to fraction form
    293,838.66/440,386.20 = 144,043.74/x
  3. Step 3: Cross multiply
    293,838.66x = 440,386.20 × 144,043.74
  4. Step 4: Simplify right side
    293,838.66x = 63,434,875,292.39
  5. Step 5: Solve for x
    x = 63,434,875,292.39/293,838.66
  6. Step 6: Final answer
    x = 215,883.35

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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.