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Finding the Fourth Proportional to 730,632, 1,096,276.32 and 464,323.44

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Solution

The fourth proportional to 730,632, 1,096,276.32 and 464,323.44 is: 696,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,632 : 1,096,276.32 = 464,323.44 : x
  2. Step 2: Convert to fraction form
    730,632/1,096,276.32 = 464,323.44/x
  3. Step 3: Cross multiply
    730,632x = 1,096,276.32 × 464,323.44
  4. Step 4: Simplify right side
    730,632x = 509,026,792,092.94
  5. Step 5: Solve for x
    x = 509,026,792,092.94/730,632
  6. Step 6: Final answer
    x = 696,693.81

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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.