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Finding the Fourth Proportional to 442,085.25, 610,077.66 and 240,881.25

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Solution

The fourth proportional to 442,085.25, 610,077.66 and 240,881.25 is: 332,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,085.25 : 610,077.66 = 240,881.25 : x
  2. Step 2: Convert to fraction form
    442,085.25/610,077.66 = 240,881.25/x
  3. Step 3: Cross multiply
    442,085.25x = 610,077.66 × 240,881.25
  4. Step 4: Simplify right side
    442,085.25x = 146,956,268,133.47
  5. Step 5: Solve for x
    x = 146,956,268,133.47/442,085.25
  6. Step 6: Final answer
    x = 332,416.13

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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.