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Finding the Fourth Proportional to 289,352.46, 434,152.68 and 149,209.50

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Solution

The fourth proportional to 289,352.46, 434,152.68 and 149,209.50 is: 223,878.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,352.46 : 434,152.68 = 149,209.50 : x
  2. Step 2: Convert to fraction form
    289,352.46/434,152.68 = 149,209.50/x
  3. Step 3: Cross multiply
    289,352.46x = 434,152.68 × 149,209.50
  4. Step 4: Simplify right side
    289,352.46x = 64,779,704,306.46
  5. Step 5: Solve for x
    x = 64,779,704,306.46/289,352.46
  6. Step 6: Final answer
    x = 223,878.19

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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.