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Finding the Fourth Proportional to 507,814.36, 700,419.90 and 335,532.76

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Solution

The fourth proportional to 507,814.36, 700,419.90 and 335,532.76 is: 462,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,814.36 : 700,419.90 = 335,532.76 : x
  2. Step 2: Convert to fraction form
    507,814.36/700,419.90 = 335,532.76/x
  3. Step 3: Cross multiply
    507,814.36x = 700,419.90 × 335,532.76
  4. Step 4: Simplify right side
    507,814.36x = 235,013,822,205.92
  5. Step 5: Solve for x
    x = 235,013,822,205.92/507,814.36
  6. Step 6: Final answer
    x = 462,794.75

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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.