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Finding the Fourth Proportional to 338,366.84, 507,550.64 and 101,709.52

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Solution

The fourth proportional to 338,366.84, 507,550.64 and 101,709.52 is: 152,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,366.84 : 507,550.64 = 101,709.52 : x
  2. Step 2: Convert to fraction form
    338,366.84/507,550.64 = 101,709.52/x
  3. Step 3: Cross multiply
    338,366.84x = 507,550.64 × 101,709.52
  4. Step 4: Simplify right side
    338,366.84x = 51,622,731,970.09
  5. Step 5: Solve for x
    x = 51,622,731,970.09/338,366.84
  6. Step 6: Final answer
    x = 152,564.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.