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Finding the Fourth Proportional to 556,504.42, 834,193.14 and 219,782.50

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Solution

The fourth proportional to 556,504.42, 834,193.14 and 219,782.50 is: 329,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,504.42 : 834,193.14 = 219,782.50 : x
  2. Step 2: Convert to fraction form
    556,504.42/834,193.14 = 219,782.50/x
  3. Step 3: Cross multiply
    556,504.42x = 834,193.14 × 219,782.50
  4. Step 4: Simplify right side
    556,504.42x = 183,341,053,792.05
  5. Step 5: Solve for x
    x = 183,341,053,792.05/556,504.42
  6. Step 6: Final answer
    x = 329,451.21

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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.