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Finding the Fourth Proportional to 413,274.90, 619,830.72 and 113,678.16

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Solution

The fourth proportional to 413,274.90, 619,830.72 and 113,678.16 is: 170,494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,274.90 : 619,830.72 = 113,678.16 : x
  2. Step 2: Convert to fraction form
    413,274.90/619,830.72 = 113,678.16/x
  3. Step 3: Cross multiply
    413,274.90x = 619,830.72 × 113,678.16
  4. Step 4: Simplify right side
    413,274.90x = 70,461,215,761.08
  5. Step 5: Solve for x
    x = 70,461,215,761.08/413,274.90
  6. Step 6: Final answer
    x = 170,494.79

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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.