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Finding the Fourth Proportional to 338,782.16, 467,503.44 and 187,875.92

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Solution

The fourth proportional to 338,782.16, 467,503.44 and 187,875.92 is: 259,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,782.16 : 467,503.44 = 187,875.92 : x
  2. Step 2: Convert to fraction form
    338,782.16/467,503.44 = 187,875.92/x
  3. Step 3: Cross multiply
    338,782.16x = 467,503.44 × 187,875.92
  4. Step 4: Simplify right side
    338,782.16x = 87,832,638,893.16
  5. Step 5: Solve for x
    x = 87,832,638,893.16/338,782.16
  6. Step 6: Final answer
    x = 259,259.93

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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.