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Finding the Fourth Proportional to 540,024.40, 745,219.23 and 298,301.77

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Solution

The fourth proportional to 540,024.40, 745,219.23 and 298,301.77 is: 411,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,024.40 : 745,219.23 = 298,301.77 : x
  2. Step 2: Convert to fraction form
    540,024.40/745,219.23 = 298,301.77/x
  3. Step 3: Cross multiply
    540,024.40x = 745,219.23 × 298,301.77
  4. Step 4: Simplify right side
    540,024.40x = 222,300,215,347.04
  5. Step 5: Solve for x
    x = 222,300,215,347.04/540,024.40
  6. Step 6: Final answer
    x = 411,648.47

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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.