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Finding the Fourth Proportional to 533,063.84, 799,477.86 and 153,902.13

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Solution

The fourth proportional to 533,063.84, 799,477.86 and 153,902.13 is: 230,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,063.84 : 799,477.86 = 153,902.13 : x
  2. Step 2: Convert to fraction form
    533,063.84/799,477.86 = 153,902.13/x
  3. Step 3: Cross multiply
    533,063.84x = 799,477.86 × 153,902.13
  4. Step 4: Simplify right side
    533,063.84x = 123,041,343,120.93
  5. Step 5: Solve for x
    x = 123,041,343,120.93/533,063.84
  6. Step 6: Final answer
    x = 230,819.15

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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.