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Finding the Fourth Proportional to 468,455.52, 646,464.24 and 253,590.06

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Solution

The fourth proportional to 468,455.52, 646,464.24 and 253,590.06 is: 349,951.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,455.52 : 646,464.24 = 253,590.06 : x
  2. Step 2: Convert to fraction form
    468,455.52/646,464.24 = 253,590.06/x
  3. Step 3: Cross multiply
    468,455.52x = 646,464.24 × 253,590.06
  4. Step 4: Simplify right side
    468,455.52x = 163,936,905,409.45
  5. Step 5: Solve for x
    x = 163,936,905,409.45/468,455.52
  6. Step 6: Final answer
    x = 349,951.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.