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Finding the Fourth Proportional to 409,323.95, 614,051.54 and 172,701.49

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Solution

The fourth proportional to 409,323.95, 614,051.54 and 172,701.49 is: 259,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,323.95 : 614,051.54 = 172,701.49 : x
  2. Step 2: Convert to fraction form
    409,323.95/614,051.54 = 172,701.49/x
  3. Step 3: Cross multiply
    409,323.95x = 614,051.54 × 172,701.49
  4. Step 4: Simplify right side
    409,323.95x = 106,047,614,143.79
  5. Step 5: Solve for x
    x = 106,047,614,143.79/409,323.95
  6. Step 6: Final answer
    x = 259,079.91

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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.