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Finding the Fourth Proportional to 306,101.70, 459,152.55 and 164,384.10

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Solution

The fourth proportional to 306,101.70, 459,152.55 and 164,384.10 is: 246,576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,101.70 : 459,152.55 = 164,384.10 : x
  2. Step 2: Convert to fraction form
    306,101.70/459,152.55 = 164,384.10/x
  3. Step 3: Cross multiply
    306,101.70x = 459,152.55 × 164,384.10
  4. Step 4: Simplify right side
    306,101.70x = 75,477,378,694.46
  5. Step 5: Solve for x
    x = 75,477,378,694.46/306,101.70
  6. Step 6: Final answer
    x = 246,576.15

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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.