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Finding the Fourth Proportional to 243,007.80, 364,511.70 and 214,467.45

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Solution

The fourth proportional to 243,007.80, 364,511.70 and 214,467.45 is: 321,701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,007.80 : 364,511.70 = 214,467.45 : x
  2. Step 2: Convert to fraction form
    243,007.80/364,511.70 = 214,467.45/x
  3. Step 3: Cross multiply
    243,007.80x = 364,511.70 × 214,467.45
  4. Step 4: Simplify right side
    243,007.80x = 78,175,894,794.17
  5. Step 5: Solve for x
    x = 78,175,894,794.17/243,007.80
  6. Step 6: Final answer
    x = 321,701.18

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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.