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Finding the Fourth Proportional to 735,133.60, 1,102,732.80 and 415,280.80

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Solution

The fourth proportional to 735,133.60, 1,102,732.80 and 415,280.80 is: 622,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,133.60 : 1,102,732.80 = 415,280.80 : x
  2. Step 2: Convert to fraction form
    735,133.60/1,102,732.80 = 415,280.80/x
  3. Step 3: Cross multiply
    735,133.60x = 1,102,732.80 × 415,280.80
  4. Step 4: Simplify right side
    735,133.60x = 457,943,759,370.24
  5. Step 5: Solve for x
    x = 457,943,759,370.24/735,133.60
  6. Step 6: Final answer
    x = 622,939.50

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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.