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Finding the Fourth Proportional to 735,340.28, 1,014,730.62 and 413,063.96

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Solution

The fourth proportional to 735,340.28, 1,014,730.62 and 413,063.96 is: 570,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,340.28 : 1,014,730.62 = 413,063.96 : x
  2. Step 2: Convert to fraction form
    735,340.28/1,014,730.62 = 413,063.96/x
  3. Step 3: Cross multiply
    735,340.28x = 1,014,730.62 × 413,063.96
  4. Step 4: Simplify right side
    735,340.28x = 419,148,648,230.46
  5. Step 5: Solve for x
    x = 419,148,648,230.46/735,340.28
  6. Step 6: Final answer
    x = 570,006.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.