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Finding the Fourth Proportional to 413,357.58, 619,507.85 and 359,830.76

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Solution

The fourth proportional to 413,357.58, 619,507.85 and 359,830.76 is: 539,286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,357.58 : 619,507.85 = 359,830.76 : x
  2. Step 2: Convert to fraction form
    413,357.58/619,507.85 = 359,830.76/x
  3. Step 3: Cross multiply
    413,357.58x = 619,507.85 × 359,830.76
  4. Step 4: Simplify right side
    413,357.58x = 222,917,975,594.77
  5. Step 5: Solve for x
    x = 222,917,975,594.77/413,357.58
  6. Step 6: Final answer
    x = 539,286.05

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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.