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Finding the Fourth Proportional to 431,052.39, 594,852.32 and 240,065.78

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Solution

The fourth proportional to 431,052.39, 594,852.32 and 240,065.78 is: 331,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,052.39 : 594,852.32 = 240,065.78 : x
  2. Step 2: Convert to fraction form
    431,052.39/594,852.32 = 240,065.78/x
  3. Step 3: Cross multiply
    431,052.39x = 594,852.32 × 240,065.78
  4. Step 4: Simplify right side
    431,052.39x = 142,803,683,811.51
  5. Step 5: Solve for x
    x = 142,803,683,811.51/431,052.39
  6. Step 6: Final answer
    x = 331,290.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.