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Finding the Fourth Proportional to 413,134.40, 619,701.60 and 346,212.20

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Solution

The fourth proportional to 413,134.40, 619,701.60 and 346,212.20 is: 519,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,134.40 : 619,701.60 = 346,212.20 : x
  2. Step 2: Convert to fraction form
    413,134.40/619,701.60 = 346,212.20/x
  3. Step 3: Cross multiply
    413,134.40x = 619,701.60 × 346,212.20
  4. Step 4: Simplify right side
    413,134.40x = 214,548,254,279.52
  5. Step 5: Solve for x
    x = 214,548,254,279.52/413,134.40
  6. Step 6: Final answer
    x = 519,318.30

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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.