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Finding the Fourth Proportional to 519,205.60, 716,473.83 and 289,744.89

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Solution

The fourth proportional to 519,205.60, 716,473.83 and 289,744.89 is: 399,831.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,205.60 : 716,473.83 = 289,744.89 : x
  2. Step 2: Convert to fraction form
    519,205.60/716,473.83 = 289,744.89/x
  3. Step 3: Cross multiply
    519,205.60x = 716,473.83 × 289,744.89
  4. Step 4: Simplify right side
    519,205.60x = 207,594,631,061.23
  5. Step 5: Solve for x
    x = 207,594,631,061.23/519,205.60
  6. Step 6: Final answer
    x = 399,831.26

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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.