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Finding the Fourth Proportional to 365,316, 548,138.16 and 232,161.72

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Solution

The fourth proportional to 365,316, 548,138.16 and 232,161.72 is: 348,346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,316 : 548,138.16 = 232,161.72 : x
  2. Step 2: Convert to fraction form
    365,316/548,138.16 = 232,161.72/x
  3. Step 3: Cross multiply
    365,316x = 548,138.16 × 232,161.72
  4. Step 4: Simplify right side
    365,316x = 127,256,698,023.24
  5. Step 5: Solve for x
    x = 127,256,698,023.24/365,316
  6. Step 6: Final answer
    x = 348,346.91

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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.