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Finding the Fourth Proportional to 242,904.08, 361,941.44 and 216,405.20

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Solution

The fourth proportional to 242,904.08, 361,941.44 and 216,405.20 is: 322,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,904.08 : 361,941.44 = 216,405.20 : x
  2. Step 2: Convert to fraction form
    242,904.08/361,941.44 = 216,405.20/x
  3. Step 3: Cross multiply
    242,904.08x = 361,941.44 × 216,405.20
  4. Step 4: Simplify right side
    242,904.08x = 78,326,009,711.49
  5. Step 5: Solve for x
    x = 78,326,009,711.49/242,904.08
  6. Step 6: Final answer
    x = 322,456.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.