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Finding the Fourth Proportional to 386,604.64, 533,488.76 and 214,511.69

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Solution

The fourth proportional to 386,604.64, 533,488.76 and 214,511.69 is: 296,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,604.64 : 533,488.76 = 214,511.69 : x
  2. Step 2: Convert to fraction form
    386,604.64/533,488.76 = 214,511.69/x
  3. Step 3: Cross multiply
    386,604.64x = 533,488.76 × 214,511.69
  4. Step 4: Simplify right side
    386,604.64x = 114,439,574,967.33
  5. Step 5: Solve for x
    x = 114,439,574,967.33/386,604.64
  6. Step 6: Final answer
    x = 296,011.91

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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.