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Finding the Fourth Proportional to 540,111, 745,353.18 and 301,647

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Solution

The fourth proportional to 540,111, 745,353.18 and 301,647 is: 416,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,111 : 745,353.18 = 301,647 : x
  2. Step 2: Convert to fraction form
    540,111/745,353.18 = 301,647/x
  3. Step 3: Cross multiply
    540,111x = 745,353.18 × 301,647
  4. Step 4: Simplify right side
    540,111x = 224,833,550,687.46
  5. Step 5: Solve for x
    x = 224,833,550,687.46/540,111
  6. Step 6: Final answer
    x = 416,272.86

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