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Finding the Fourth Proportional to 410,368.40, 614,152.20 and 343,883.60

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Solution

The fourth proportional to 410,368.40, 614,152.20 and 343,883.60 is: 514,651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,368.40 : 614,152.20 = 343,883.60 : x
  2. Step 2: Convert to fraction form
    410,368.40/614,152.20 = 343,883.60/x
  3. Step 3: Cross multiply
    410,368.40x = 614,152.20 × 343,883.60
  4. Step 4: Simplify right side
    410,368.40x = 211,196,869,483.92
  5. Step 5: Solve for x
    x = 211,196,869,483.92/410,368.40
  6. Step 6: Final answer
    x = 514,651.88

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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.