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Finding the Fourth Proportional to 393,701.93, 543,308.51 and 214,853.93

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Solution

The fourth proportional to 393,701.93, 543,308.51 and 214,853.93 is: 296,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,701.93 : 543,308.51 = 214,853.93 : x
  2. Step 2: Convert to fraction form
    393,701.93/543,308.51 = 214,853.93/x
  3. Step 3: Cross multiply
    393,701.93x = 543,308.51 × 214,853.93
  4. Step 4: Simplify right side
    393,701.93x = 116,731,966,396.54
  5. Step 5: Solve for x
    x = 116,731,966,396.54/393,701.93
  6. Step 6: Final answer
    x = 296,498.34

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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.