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Finding the Fourth Proportional to 780,242.96, 1,076,431.18 and 489,684.96

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Solution

The fourth proportional to 780,242.96, 1,076,431.18 and 489,684.96 is: 675,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,242.96 : 1,076,431.18 = 489,684.96 : x
  2. Step 2: Convert to fraction form
    780,242.96/1,076,431.18 = 489,684.96/x
  3. Step 3: Cross multiply
    780,242.96x = 1,076,431.18 × 489,684.96
  4. Step 4: Simplify right side
    780,242.96x = 527,112,159,321.05
  5. Step 5: Solve for x
    x = 527,112,159,321.05/780,242.96
  6. Step 6: Final answer
    x = 675,574.39

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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.