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Finding the Fourth Proportional to 289,886.70, 434,627.55 and 171,497.10

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Solution

The fourth proportional to 289,886.70, 434,627.55 and 171,497.10 is: 257,125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,886.70 : 434,627.55 = 171,497.10 : x
  2. Step 2: Convert to fraction form
    289,886.70/434,627.55 = 171,497.10/x
  3. Step 3: Cross multiply
    289,886.70x = 434,627.55 × 171,497.10
  4. Step 4: Simplify right side
    289,886.70x = 74,537,364,405.11
  5. Step 5: Solve for x
    x = 74,537,364,405.11/289,886.70
  6. Step 6: Final answer
    x = 257,125.85

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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.