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Finding the Fourth Proportional to 492,790.32, 680,051.66 and 266,435.82

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Solution

The fourth proportional to 492,790.32, 680,051.66 and 266,435.82 is: 367,681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,790.32 : 680,051.66 = 266,435.82 : x
  2. Step 2: Convert to fraction form
    492,790.32/680,051.66 = 266,435.82/x
  3. Step 3: Cross multiply
    492,790.32x = 680,051.66 × 266,435.82
  4. Step 4: Simplify right side
    492,790.32x = 181,190,120,342.28
  5. Step 5: Solve for x
    x = 181,190,120,342.28/492,790.32
  6. Step 6: Final answer
    x = 367,681.98

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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.