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Finding the Fourth Proportional to 421,752.42, 632,557.55 and 181,800.25

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Solution

The fourth proportional to 421,752.42, 632,557.55 and 181,800.25 is: 272,669.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,752.42 : 632,557.55 = 181,800.25 : x
  2. Step 2: Convert to fraction form
    421,752.42/632,557.55 = 181,800.25/x
  3. Step 3: Cross multiply
    421,752.42x = 632,557.55 × 181,800.25
  4. Step 4: Simplify right side
    421,752.42x = 114,999,119,602.49
  5. Step 5: Solve for x
    x = 114,999,119,602.49/421,752.42
  6. Step 6: Final answer
    x = 272,669.73

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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.