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Finding the Fourth Proportional to 312,006.84, 468,009.23 and 75,349.50

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Solution

The fourth proportional to 312,006.84, 468,009.23 and 75,349.50 is: 113,024.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,006.84 : 468,009.23 = 75,349.50 : x
  2. Step 2: Convert to fraction form
    312,006.84/468,009.23 = 75,349.50/x
  3. Step 3: Cross multiply
    312,006.84x = 468,009.23 × 75,349.50
  4. Step 4: Simplify right side
    312,006.84x = 35,264,261,099.14
  5. Step 5: Solve for x
    x = 35,264,261,099.14/312,006.84
  6. Step 6: Final answer
    x = 113,024.00

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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.