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Finding the Fourth Proportional to 540,084.51, 810,026.53 and 198,453.24

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Solution

The fourth proportional to 540,084.51, 810,026.53 and 198,453.24 is: 297,643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,084.51 : 810,026.53 = 198,453.24 : x
  2. Step 2: Convert to fraction form
    540,084.51/810,026.53 = 198,453.24/x
  3. Step 3: Cross multiply
    540,084.51x = 810,026.53 × 198,453.24
  4. Step 4: Simplify right side
    540,084.51x = 160,752,388,868.32
  5. Step 5: Solve for x
    x = 160,752,388,868.32/540,084.51
  6. Step 6: Final answer
    x = 297,643.03

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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.