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Finding the Fourth Proportional to 519,300.86, 774,588.19 and 471,463.88

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Solution

The fourth proportional to 519,300.86, 774,588.19 and 471,463.88 is: 703,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,300.86 : 774,588.19 = 471,463.88 : x
  2. Step 2: Convert to fraction form
    519,300.86/774,588.19 = 471,463.88/x
  3. Step 3: Cross multiply
    519,300.86x = 774,588.19 × 471,463.88
  4. Step 4: Simplify right side
    519,300.86x = 365,190,353,459.58
  5. Step 5: Solve for x
    x = 365,190,353,459.58/519,300.86
  6. Step 6: Final answer
    x = 703,234.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.