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Finding the Fourth Proportional to 409,323.58, 614,050.98 and 172,701.11

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Solution

The fourth proportional to 409,323.58, 614,050.98 and 172,701.11 is: 259,079.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,323.58 : 614,050.98 = 172,701.11 : x
  2. Step 2: Convert to fraction form
    409,323.58/614,050.98 = 172,701.11/x
  3. Step 3: Cross multiply
    409,323.58x = 614,050.98 × 172,701.11
  4. Step 4: Simplify right side
    409,323.58x = 106,047,286,730.09
  5. Step 5: Solve for x
    x = 106,047,286,730.09/409,323.58
  6. Step 6: Final answer
    x = 259,079.35

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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.