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Finding the Fourth Proportional to 410,117.40, 614,715.30 and 210,360.60

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Solution

The fourth proportional to 410,117.40, 614,715.30 and 210,360.60 is: 315,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,117.40 : 614,715.30 = 210,360.60 : x
  2. Step 2: Convert to fraction form
    410,117.40/614,715.30 = 210,360.60/x
  3. Step 3: Cross multiply
    410,117.40x = 614,715.30 × 210,360.60
  4. Step 4: Simplify right side
    410,117.40x = 129,311,879,337.18
  5. Step 5: Solve for x
    x = 129,311,879,337.18/410,117.40
  6. Step 6: Final answer
    x = 315,304.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.