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Finding the Fourth Proportional to 273,616.16, 407,672.22 and 258,337.23

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Solution

The fourth proportional to 273,616.16, 407,672.22 and 258,337.23 is: 384,907.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,616.16 : 407,672.22 = 258,337.23 : x
  2. Step 2: Convert to fraction form
    273,616.16/407,672.22 = 258,337.23/x
  3. Step 3: Cross multiply
    273,616.16x = 407,672.22 × 258,337.23
  4. Step 4: Simplify right side
    273,616.16x = 105,316,912,062.75
  5. Step 5: Solve for x
    x = 105,316,912,062.75/273,616.16
  6. Step 6: Final answer
    x = 384,907.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.