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Finding the Fourth Proportional to 369,808.47, 510,398.35 and 214,735.73

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Solution

The fourth proportional to 369,808.47, 510,398.35 and 214,735.73 is: 296,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,808.47 : 510,398.35 = 214,735.73 : x
  2. Step 2: Convert to fraction form
    369,808.47/510,398.35 = 214,735.73/x
  3. Step 3: Cross multiply
    369,808.47x = 510,398.35 × 214,735.73
  4. Step 4: Simplify right side
    369,808.47x = 109,600,759,189.21
  5. Step 5: Solve for x
    x = 109,600,759,189.21/369,808.47
  6. Step 6: Final answer
    x = 296,371.68

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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.