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Finding the Fourth Proportional to 474,718.72, 711,291.52 and 333,788.80

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Solution

The fourth proportional to 474,718.72, 711,291.52 and 333,788.80 is: 500,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,718.72 : 711,291.52 = 333,788.80 : x
  2. Step 2: Convert to fraction form
    474,718.72/711,291.52 = 333,788.80/x
  3. Step 3: Cross multiply
    474,718.72x = 711,291.52 × 333,788.80
  4. Step 4: Simplify right side
    474,718.72x = 237,421,142,910.98
  5. Step 5: Solve for x
    x = 237,421,142,910.98/474,718.72
  6. Step 6: Final answer
    x = 500,130.15

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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.