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Finding the Fourth Proportional to 519,607.86, 717,078.87 and 293,248.50

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Solution

The fourth proportional to 519,607.86, 717,078.87 and 293,248.50 is: 404,694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,607.86 : 717,078.87 = 293,248.50 : x
  2. Step 2: Convert to fraction form
    519,607.86/717,078.87 = 293,248.50/x
  3. Step 3: Cross multiply
    519,607.86x = 717,078.87 × 293,248.50
  4. Step 4: Simplify right side
    519,607.86x = 210,282,303,009.20
  5. Step 5: Solve for x
    x = 210,282,303,009.20/519,607.86
  6. Step 6: Final answer
    x = 404,694.23

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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.