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Finding the Fourth Proportional to 272,509.46, 411,323.84 and 272,509.46

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Solution

The fourth proportional to 272,509.46, 411,323.84 and 272,509.46 is: 411,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,509.46 : 411,323.84 = 272,509.46 : x
  2. Step 2: Convert to fraction form
    272,509.46/411,323.84 = 272,509.46/x
  3. Step 3: Cross multiply
    272,509.46x = 411,323.84 × 272,509.46
  4. Step 4: Simplify right side
    272,509.46x = 112,089,637,523.53
  5. Step 5: Solve for x
    x = 112,089,637,523.53/272,509.46
  6. Step 6: Final answer
    x = 411,323.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.