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Finding the Fourth Proportional to 340,533.20, 510,108.60 and 192,616.40

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Solution

The fourth proportional to 340,533.20, 510,108.60 and 192,616.40 is: 288,533.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,533.20 : 510,108.60 = 192,616.40 : x
  2. Step 2: Convert to fraction form
    340,533.20/510,108.60 = 192,616.40/x
  3. Step 3: Cross multiply
    340,533.20x = 510,108.60 × 192,616.40
  4. Step 4: Simplify right side
    340,533.20x = 98,255,282,141.04
  5. Step 5: Solve for x
    x = 98,255,282,141.04/340,533.20
  6. Step 6: Final answer
    x = 288,533.64

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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.