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Finding the Fourth Proportional to 474,547.20, 711,993.60 and 194,265.60

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Solution

The fourth proportional to 474,547.20, 711,993.60 and 194,265.60 is: 291,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,547.20 : 711,993.60 = 194,265.60 : x
  2. Step 2: Convert to fraction form
    474,547.20/711,993.60 = 194,265.60/x
  3. Step 3: Cross multiply
    474,547.20x = 711,993.60 × 194,265.60
  4. Step 4: Simplify right side
    474,547.20x = 138,315,863,900.16
  5. Step 5: Solve for x
    x = 138,315,863,900.16/474,547.20
  6. Step 6: Final answer
    x = 291,469.14

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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.