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Finding the Fourth Proportional to 469,300.69, 697,913.96 and 454,353.76

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Solution

The fourth proportional to 469,300.69, 697,913.96 and 454,353.76 is: 675,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,300.69 : 697,913.96 = 454,353.76 : x
  2. Step 2: Convert to fraction form
    469,300.69/697,913.96 = 454,353.76/x
  3. Step 3: Cross multiply
    469,300.69x = 697,913.96 × 454,353.76
  4. Step 4: Simplify right side
    469,300.69x = 317,099,831,882.49
  5. Step 5: Solve for x
    x = 317,099,831,882.49/469,300.69
  6. Step 6: Final answer
    x = 675,685.84

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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.