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Finding the Fourth Proportional to 262,560, 393,208.52 and 149,898.63

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Solution

The fourth proportional to 262,560, 393,208.52 and 149,898.63 is: 224,487.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,560 : 393,208.52 = 149,898.63 : x
  2. Step 2: Convert to fraction form
    262,560/393,208.52 = 149,898.63/x
  3. Step 3: Cross multiply
    262,560x = 393,208.52 × 149,898.63
  4. Step 4: Simplify right side
    262,560x = 58,941,417,702.83
  5. Step 5: Solve for x
    x = 58,941,417,702.83/262,560
  6. Step 6: Final answer
    x = 224,487.42

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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.