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Finding the Fourth Proportional to 409,896.60, 614,931.30 and 173,117.40

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Solution

The fourth proportional to 409,896.60, 614,931.30 and 173,117.40 is: 259,712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,896.60 : 614,931.30 = 173,117.40 : x
  2. Step 2: Convert to fraction form
    409,896.60/614,931.30 = 173,117.40/x
  3. Step 3: Cross multiply
    409,896.60x = 614,931.30 × 173,117.40
  4. Step 4: Simplify right side
    409,896.60x = 106,455,307,834.62
  5. Step 5: Solve for x
    x = 106,455,307,834.62/409,896.60
  6. Step 6: Final answer
    x = 259,712.59

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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.