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Finding the Fourth Proportional to 366,980.16, 506,433.51 and 214,123.44

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Solution

The fourth proportional to 366,980.16, 506,433.51 and 214,123.44 is: 295,490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,980.16 : 506,433.51 = 214,123.44 : x
  2. Step 2: Convert to fraction form
    366,980.16/506,433.51 = 214,123.44/x
  3. Step 3: Cross multiply
    366,980.16x = 506,433.51 × 214,123.44
  4. Step 4: Simplify right side
    366,980.16x = 108,439,285,292.47
  5. Step 5: Solve for x
    x = 108,439,285,292.47/366,980.16
  6. Step 6: Final answer
    x = 295,490.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.