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Finding the Fourth Proportional to 519,102.09, 716,340.78 and 289,647.45

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Solution

The fourth proportional to 519,102.09, 716,340.78 and 289,647.45 is: 399,702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,102.09 : 716,340.78 = 289,647.45 : x
  2. Step 2: Convert to fraction form
    519,102.09/716,340.78 = 289,647.45/x
  3. Step 3: Cross multiply
    519,102.09x = 716,340.78 × 289,647.45
  4. Step 4: Simplify right side
    519,102.09x = 207,486,280,258.01
  5. Step 5: Solve for x
    x = 207,486,280,258.01/519,102.09
  6. Step 6: Final answer
    x = 399,702.26

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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.