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Finding the Fourth Proportional to 426,744.52, 640,288.91 and 189,925.23

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Solution

The fourth proportional to 426,744.52, 640,288.91 and 189,925.23 is: 284,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,744.52 : 640,288.91 = 189,925.23 : x
  2. Step 2: Convert to fraction form
    426,744.52/640,288.91 = 189,925.23/x
  3. Step 3: Cross multiply
    426,744.52x = 640,288.91 × 189,925.23
  4. Step 4: Simplify right side
    426,744.52x = 121,607,018,498.20
  5. Step 5: Solve for x
    x = 121,607,018,498.20/426,744.52
  6. Step 6: Final answer
    x = 284,964.45

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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.