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Finding the Fourth Proportional to 429,862.80, 643,919.40 and 219,619.20

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Solution

The fourth proportional to 429,862.80, 643,919.40 and 219,619.20 is: 328,981.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,862.80 : 643,919.40 = 219,619.20 : x
  2. Step 2: Convert to fraction form
    429,862.80/643,919.40 = 219,619.20/x
  3. Step 3: Cross multiply
    429,862.80x = 643,919.40 × 219,619.20
  4. Step 4: Simplify right side
    429,862.80x = 141,417,063,492.48
  5. Step 5: Solve for x
    x = 141,417,063,492.48/429,862.80
  6. Step 6: Final answer
    x = 328,981.86

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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.