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Finding the Fourth Proportional to 466,120.98, 642,881.52 and 319,033.02

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Solution

The fourth proportional to 466,120.98, 642,881.52 and 319,033.02 is: 440,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,120.98 : 642,881.52 = 319,033.02 : x
  2. Step 2: Convert to fraction form
    466,120.98/642,881.52 = 319,033.02/x
  3. Step 3: Cross multiply
    466,120.98x = 642,881.52 × 319,033.02
  4. Step 4: Simplify right side
    466,120.98x = 205,100,432,827.79
  5. Step 5: Solve for x
    x = 205,100,432,827.79/466,120.98
  6. Step 6: Final answer
    x = 440,015.45

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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.