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Finding the Fourth Proportional to 386,805.57, 533,783.28 and 214,713.58

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Solution

The fourth proportional to 386,805.57, 533,783.28 and 214,713.58 is: 296,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,805.57 : 533,783.28 = 214,713.58 : x
  2. Step 2: Convert to fraction form
    386,805.57/533,783.28 = 214,713.58/x
  3. Step 3: Cross multiply
    386,805.57x = 533,783.28 × 214,713.58
  4. Step 4: Simplify right side
    386,805.57x = 114,610,518,992.94
  5. Step 5: Solve for x
    x = 114,610,518,992.94/386,805.57
  6. Step 6: Final answer
    x = 296,300.07

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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.