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Finding the Fourth Proportional to 413,073.90, 619,574.40 and 113,527.80

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Solution

The fourth proportional to 413,073.90, 619,574.40 and 113,527.80 is: 170,281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,073.90 : 619,574.40 = 113,527.80 : x
  2. Step 2: Convert to fraction form
    413,073.90/619,574.40 = 113,527.80/x
  3. Step 3: Cross multiply
    413,073.90x = 619,574.40 × 113,527.80
  4. Step 4: Simplify right side
    413,073.90x = 70,338,918,568.32
  5. Step 5: Solve for x
    x = 70,338,918,568.32/413,073.90
  6. Step 6: Final answer
    x = 170,281.68

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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.