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Finding the Fourth Proportional to 421,640.70, 632,461.05 and 211,688.70

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Solution

The fourth proportional to 421,640.70, 632,461.05 and 211,688.70 is: 317,533.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,640.70 : 632,461.05 = 211,688.70 : x
  2. Step 2: Convert to fraction form
    421,640.70/632,461.05 = 211,688.70/x
  3. Step 3: Cross multiply
    421,640.70x = 632,461.05 × 211,688.70
  4. Step 4: Simplify right side
    421,640.70x = 133,884,857,475.14
  5. Step 5: Solve for x
    x = 133,884,857,475.14/421,640.70
  6. Step 6: Final answer
    x = 317,533.05

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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.