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Finding the Fourth Proportional to 540,647.12, 746,084.81 and 295,632.66

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Solution

The fourth proportional to 540,647.12, 746,084.81 and 295,632.66 is: 407,968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,647.12 : 746,084.81 = 295,632.66 : x
  2. Step 2: Convert to fraction form
    540,647.12/746,084.81 = 295,632.66/x
  3. Step 3: Cross multiply
    540,647.12x = 746,084.81 × 295,632.66
  4. Step 4: Simplify right side
    540,647.12x = 220,567,034,841.15
  5. Step 5: Solve for x
    x = 220,567,034,841.15/540,647.12
  6. Step 6: Final answer
    x = 407,968.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.