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Finding the Fourth Proportional to 268,901.60, 402,477.60 and 209,415.20

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Solution

The fourth proportional to 268,901.60, 402,477.60 and 209,415.20 is: 313,441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,901.60 : 402,477.60 = 209,415.20 : x
  2. Step 2: Convert to fraction form
    268,901.60/402,477.60 = 209,415.20/x
  3. Step 3: Cross multiply
    268,901.60x = 402,477.60 × 209,415.20
  4. Step 4: Simplify right side
    268,901.60x = 84,284,927,099.52
  5. Step 5: Solve for x
    x = 84,284,927,099.52/268,901.60
  6. Step 6: Final answer
    x = 313,441.52

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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.