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Finding the Fourth Proportional to 341,435.10, 512,152.65 and 164,288.10

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Solution

The fourth proportional to 341,435.10, 512,152.65 and 164,288.10 is: 246,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,435.10 : 512,152.65 = 164,288.10 : x
  2. Step 2: Convert to fraction form
    341,435.10/512,152.65 = 164,288.10/x
  3. Step 3: Cross multiply
    341,435.10x = 512,152.65 × 164,288.10
  4. Step 4: Simplify right side
    341,435.10x = 84,140,585,778.47
  5. Step 5: Solve for x
    x = 84,140,585,778.47/341,435.10
  6. Step 6: Final answer
    x = 246,432.15

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1.5x scale

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.