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Finding the Fourth Proportional to 502,470.54, 693,395.64 and 276,116.04

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Solution

The fourth proportional to 502,470.54, 693,395.64 and 276,116.04 is: 381,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,470.54 : 693,395.64 = 276,116.04 : x
  2. Step 2: Convert to fraction form
    502,470.54/693,395.64 = 276,116.04/x
  3. Step 3: Cross multiply
    502,470.54x = 693,395.64 × 276,116.04
  4. Step 4: Simplify right side
    502,470.54x = 191,457,658,270.07
  5. Step 5: Solve for x
    x = 191,457,658,270.07/502,470.54
  6. Step 6: Final answer
    x = 381,032.60

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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.