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Finding the Fourth Proportional to 735,641.76, 1,015,280.02 and 413,352.48

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Solution

The fourth proportional to 735,641.76, 1,015,280.02 and 413,352.48 is: 570,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,641.76 : 1,015,280.02 = 413,352.48 : x
  2. Step 2: Convert to fraction form
    735,641.76/1,015,280.02 = 413,352.48/x
  3. Step 3: Cross multiply
    735,641.76x = 1,015,280.02 × 413,352.48
  4. Step 4: Simplify right side
    735,641.76x = 419,668,514,161.45
  5. Step 5: Solve for x
    x = 419,668,514,161.45/735,641.76
  6. Step 6: Final answer
    x = 570,479.46

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