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Finding the Fourth Proportional to 421,547.63, 632,252.16 and 181,596.42

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Solution

The fourth proportional to 421,547.63, 632,252.16 and 181,596.42 is: 272,364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,547.63 : 632,252.16 = 181,596.42 : x
  2. Step 2: Convert to fraction form
    421,547.63/632,252.16 = 181,596.42/x
  3. Step 3: Cross multiply
    421,547.63x = 632,252.16 × 181,596.42
  4. Step 4: Simplify right side
    421,547.63x = 114,814,728,793.27
  5. Step 5: Solve for x
    x = 114,814,728,793.27/421,547.63
  6. Step 6: Final answer
    x = 272,364.79

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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.