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Finding the Fourth Proportional to 347,265.60, 520,898.40 and 213,712.80

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Solution

The fourth proportional to 347,265.60, 520,898.40 and 213,712.80 is: 320,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,265.60 : 520,898.40 = 213,712.80 : x
  2. Step 2: Convert to fraction form
    347,265.60/520,898.40 = 213,712.80/x
  3. Step 3: Cross multiply
    347,265.60x = 520,898.40 × 213,712.80
  4. Step 4: Simplify right side
    347,265.60x = 111,322,655,579.52
  5. Step 5: Solve for x
    x = 111,322,655,579.52/347,265.60
  6. Step 6: Final answer
    x = 320,569.20

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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.