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Finding the Fourth Proportional to 703,900.69, 972,184.85 and 477,152.53

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Solution

The fourth proportional to 703,900.69, 972,184.85 and 477,152.53 is: 659,014.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,900.69 : 972,184.85 = 477,152.53 : x
  2. Step 2: Convert to fraction form
    703,900.69/972,184.85 = 477,152.53/x
  3. Step 3: Cross multiply
    703,900.69x = 972,184.85 × 477,152.53
  4. Step 4: Simplify right side
    703,900.69x = 463,880,457,778.27
  5. Step 5: Solve for x
    x = 463,880,457,778.27/703,900.69
  6. Step 6: Final answer
    x = 659,014.07

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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.