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Finding the Fourth Proportional to 429,643.80, 643,590.90 and 219,400.20

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Solution

The fourth proportional to 429,643.80, 643,590.90 and 219,400.20 is: 328,653.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,643.80 : 643,590.90 = 219,400.20 : x
  2. Step 2: Convert to fraction form
    429,643.80/643,590.90 = 219,400.20/x
  3. Step 3: Cross multiply
    429,643.80x = 643,590.90 × 219,400.20
  4. Step 4: Simplify right side
    429,643.80x = 141,203,972,178.18
  5. Step 5: Solve for x
    x = 141,203,972,178.18/429,643.80
  6. Step 6: Final answer
    x = 328,653.58

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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.