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Finding the Fourth Proportional to 219,350.40, 328,533.53 and 179,984.40

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Solution

The fourth proportional to 219,350.40, 328,533.53 and 179,984.40 is: 269,572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,350.40 : 328,533.53 = 179,984.40 : x
  2. Step 2: Convert to fraction form
    219,350.40/328,533.53 = 179,984.40/x
  3. Step 3: Cross multiply
    219,350.40x = 328,533.53 × 179,984.40
  4. Step 4: Simplify right side
    219,350.40x = 59,130,909,377.01
  5. Step 5: Solve for x
    x = 59,130,909,377.01/219,350.40
  6. Step 6: Final answer
    x = 269,572.84

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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.