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Finding the Fourth Proportional to 364,169.67, 546,475.94 and 153,807.61

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Solution

The fourth proportional to 364,169.67, 546,475.94 and 153,807.61 is: 230,804.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,169.67 : 546,475.94 = 153,807.61 : x
  2. Step 2: Convert to fraction form
    364,169.67/546,475.94 = 153,807.61/x
  3. Step 3: Cross multiply
    364,169.67x = 546,475.94 × 153,807.61
  4. Step 4: Simplify right side
    364,169.67x = 84,052,158,152.68
  5. Step 5: Solve for x
    x = 84,052,158,152.68/364,169.67
  6. Step 6: Final answer
    x = 230,804.94

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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.