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Finding the Fourth Proportional to 467,842.93, 645,623.93 and 252,983

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Solution

The fourth proportional to 467,842.93, 645,623.93 and 252,983 is: 349,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,842.93 : 645,623.93 = 252,983 : x
  2. Step 2: Convert to fraction form
    467,842.93/645,623.93 = 252,983/x
  3. Step 3: Cross multiply
    467,842.93x = 645,623.93 × 252,983
  4. Step 4: Simplify right side
    467,842.93x = 163,331,878,683.19
  5. Step 5: Solve for x
    x = 163,331,878,683.19/467,842.93
  6. Step 6: Final answer
    x = 349,116.91

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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.