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Finding the Fourth Proportional to 706,035.64, 974,470.98 and 419,500.66

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Solution

The fourth proportional to 706,035.64, 974,470.98 and 419,500.66 is: 578,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,035.64 : 974,470.98 = 419,500.66 : x
  2. Step 2: Convert to fraction form
    706,035.64/974,470.98 = 419,500.66/x
  3. Step 3: Cross multiply
    706,035.64x = 974,470.98 × 419,500.66
  4. Step 4: Simplify right side
    706,035.64x = 408,791,219,260.85
  5. Step 5: Solve for x
    x = 408,791,219,260.85/706,035.64
  6. Step 6: Final answer
    x = 578,995.16

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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.