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Finding the Fourth Proportional to 343,097.92, 473,706.24 and 214,232.64

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Solution

The fourth proportional to 343,097.92, 473,706.24 and 214,232.64 is: 295,785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,097.92 : 473,706.24 = 214,232.64 : x
  2. Step 2: Convert to fraction form
    343,097.92/473,706.24 = 214,232.64/x
  3. Step 3: Cross multiply
    343,097.92x = 473,706.24 × 214,232.64
  4. Step 4: Simplify right side
    343,097.92x = 101,483,338,379.67
  5. Step 5: Solve for x
    x = 101,483,338,379.67/343,097.92
  6. Step 6: Final answer
    x = 295,785.35

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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.