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Finding the Fourth Proportional to 535,974.32, 802,910.64 and 310,861.82

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Solution

The fourth proportional to 535,974.32, 802,910.64 and 310,861.82 is: 465,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,974.32 : 802,910.64 = 310,861.82 : x
  2. Step 2: Convert to fraction form
    535,974.32/802,910.64 = 310,861.82/x
  3. Step 3: Cross multiply
    535,974.32x = 802,910.64 × 310,861.82
  4. Step 4: Simplify right side
    535,974.32x = 249,594,262,847.77
  5. Step 5: Solve for x
    x = 249,594,262,847.77/535,974.32
  6. Step 6: Final answer
    x = 465,683.25

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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.