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Finding the Fourth Proportional to 383,497.60, 575,154.24 and 196,412.80

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Solution

The fourth proportional to 383,497.60, 575,154.24 and 196,412.80 is: 294,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,497.60 : 575,154.24 = 196,412.80 : x
  2. Step 2: Convert to fraction form
    383,497.60/575,154.24 = 196,412.80/x
  3. Step 3: Cross multiply
    383,497.60x = 575,154.24 × 196,412.80
  4. Step 4: Simplify right side
    383,497.60x = 112,967,654,710.27
  5. Step 5: Solve for x
    x = 112,967,654,710.27/383,497.60
  6. Step 6: Final answer
    x = 294,572.00

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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.