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Finding the Fourth Proportional to 312,296.75, 468,448.95 and 109,898.89

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Solution

The fourth proportional to 312,296.75, 468,448.95 and 109,898.89 is: 164,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,296.75 : 468,448.95 = 109,898.89 : x
  2. Step 2: Convert to fraction form
    312,296.75/468,448.95 = 109,898.89/x
  3. Step 3: Cross multiply
    312,296.75x = 468,448.95 × 109,898.89
  4. Step 4: Simplify right side
    312,296.75x = 51,482,018,455.54
  5. Step 5: Solve for x
    x = 51,482,018,455.54/312,296.75
  6. Step 6: Final answer
    x = 164,849.68

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1.5x scale

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.