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Finding the Fourth Proportional to 668,226, 1,002,373.04 and 194,947.08

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Solution

The fourth proportional to 668,226, 1,002,373.04 and 194,947.08 is: 292,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,226 : 1,002,373.04 = 194,947.08 : x
  2. Step 2: Convert to fraction form
    668,226/1,002,373.04 = 194,947.08/x
  3. Step 3: Cross multiply
    668,226x = 1,002,373.04 × 194,947.08
  4. Step 4: Simplify right side
    668,226x = 195,409,697,218.72
  5. Step 5: Solve for x
    x = 195,409,697,218.72/668,226
  6. Step 6: Final answer
    x = 292,430.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.