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Finding the Fourth Proportional to 540,470.47, 810,804.42 and 180,607.22

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Solution

The fourth proportional to 540,470.47, 810,804.42 and 180,607.22 is: 270,943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,470.47 : 810,804.42 = 180,607.22 : x
  2. Step 2: Convert to fraction form
    540,470.47/810,804.42 = 180,607.22/x
  3. Step 3: Cross multiply
    540,470.47x = 810,804.42 × 180,607.22
  4. Step 4: Simplify right side
    540,470.47x = 146,437,128,205.89
  5. Step 5: Solve for x
    x = 146,437,128,205.89/540,470.47
  6. Step 6: Final answer
    x = 270,943.81

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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.