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Finding the Fourth Proportional to 777,024, 1,165,602.02 and 216,058.50

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Solution

The fourth proportional to 777,024, 1,165,602.02 and 216,058.50 is: 324,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,024 : 1,165,602.02 = 216,058.50 : x
  2. Step 2: Convert to fraction form
    777,024/1,165,602.02 = 216,058.50/x
  3. Step 3: Cross multiply
    777,024x = 1,165,602.02 × 216,058.50
  4. Step 4: Simplify right side
    777,024x = 251,838,222,957.88
  5. Step 5: Solve for x
    x = 251,838,222,957.88/777,024
  6. Step 6: Final answer
    x = 324,106.11

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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.