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Finding the Fourth Proportional to 289,547.70, 434,321.55 and 195,069.30

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Solution

The fourth proportional to 289,547.70, 434,321.55 and 195,069.30 is: 292,603.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,547.70 : 434,321.55 = 195,069.30 : x
  2. Step 2: Convert to fraction form
    289,547.70/434,321.55 = 195,069.30/x
  3. Step 3: Cross multiply
    289,547.70x = 434,321.55 × 195,069.30
  4. Step 4: Simplify right side
    289,547.70x = 84,722,800,733.42
  5. Step 5: Solve for x
    x = 84,722,800,733.42/289,547.70
  6. Step 6: Final answer
    x = 292,603.95

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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.