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Finding the Fourth Proportional to 217,053.60, 325,580.40 and 213,165.60

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Solution

The fourth proportional to 217,053.60, 325,580.40 and 213,165.60 is: 319,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,053.60 : 325,580.40 = 213,165.60 : x
  2. Step 2: Convert to fraction form
    217,053.60/325,580.40 = 213,165.60/x
  3. Step 3: Cross multiply
    217,053.60x = 325,580.40 × 213,165.60
  4. Step 4: Simplify right side
    217,053.60x = 69,402,541,314.24
  5. Step 5: Solve for x
    x = 69,402,541,314.24/217,053.60
  6. Step 6: Final answer
    x = 319,748.40

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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.