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Finding the Fourth Proportional to 326,549, 489,675.72 and 116,192.48

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Solution

The fourth proportional to 326,549, 489,675.72 and 116,192.48 is: 174,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,549 : 489,675.72 = 116,192.48 : x
  2. Step 2: Convert to fraction form
    326,549/489,675.72 = 116,192.48/x
  3. Step 3: Cross multiply
    326,549x = 489,675.72 × 116,192.48
  4. Step 4: Simplify right side
    326,549x = 56,896,636,302.59
  5. Step 5: Solve for x
    x = 56,896,636,302.59/326,549
  6. Step 6: Final answer
    x = 174,236.14

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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.