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Finding the Fourth Proportional to 493,726.19, 740,616.92 and 138,712.50

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Solution

The fourth proportional to 493,726.19, 740,616.92 and 138,712.50 is: 208,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,726.19 : 740,616.92 = 138,712.50 : x
  2. Step 2: Convert to fraction form
    493,726.19/740,616.92 = 138,712.50/x
  3. Step 3: Cross multiply
    493,726.19x = 740,616.92 × 138,712.50
  4. Step 4: Simplify right side
    493,726.19x = 102,732,824,342.11
  5. Step 5: Solve for x
    x = 102,732,824,342.11/493,726.19
  6. Step 6: Final answer
    x = 208,076.52

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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.