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Finding the Fourth Proportional to 650,698.18, 897,963.34 and 364,218.32

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Solution

The fourth proportional to 650,698.18, 897,963.34 and 364,218.32 is: 502,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,698.18 : 897,963.34 = 364,218.32 : x
  2. Step 2: Convert to fraction form
    650,698.18/897,963.34 = 364,218.32/x
  3. Step 3: Cross multiply
    650,698.18x = 897,963.34 × 364,218.32
  4. Step 4: Simplify right side
    650,698.18x = 327,054,700,450.75
  5. Step 5: Solve for x
    x = 327,054,700,450.75/650,698.18
  6. Step 6: Final answer
    x = 502,621.20

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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.