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Finding the Fourth Proportional to 219,230.40, 328,975.20 and 144,566.40

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Solution

The fourth proportional to 219,230.40, 328,975.20 and 144,566.40 is: 216,935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,230.40 : 328,975.20 = 144,566.40 : x
  2. Step 2: Convert to fraction form
    219,230.40/328,975.20 = 144,566.40/x
  3. Step 3: Cross multiply
    219,230.40x = 328,975.20 × 144,566.40
  4. Step 4: Simplify right side
    219,230.40x = 47,558,760,353.28
  5. Step 5: Solve for x
    x = 47,558,760,353.28/219,230.40
  6. Step 6: Final answer
    x = 216,935.06

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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.