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Finding the Fourth Proportional to 367,214.79, 506,759.91 and 214,348.35

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Solution

The fourth proportional to 367,214.79, 506,759.91 and 214,348.35 is: 295,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,214.79 : 506,759.91 = 214,348.35 : x
  2. Step 2: Convert to fraction form
    367,214.79/506,759.91 = 214,348.35/x
  3. Step 3: Cross multiply
    367,214.79x = 506,759.91 × 214,348.35
  4. Step 4: Simplify right side
    367,214.79x = 108,623,150,554.65
  5. Step 5: Solve for x
    x = 108,623,150,554.65/367,214.79
  6. Step 6: Final answer
    x = 295,802.77

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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.