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Finding the Fourth Proportional to 500,415.34, 690,622.47 and 285,587.74

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Solution

The fourth proportional to 500,415.34, 690,622.47 and 285,587.74 is: 394,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,415.34 : 690,622.47 = 285,587.74 : x
  2. Step 2: Convert to fraction form
    500,415.34/690,622.47 = 285,587.74/x
  3. Step 3: Cross multiply
    500,415.34x = 690,622.47 × 285,587.74
  4. Step 4: Simplify right side
    500,415.34x = 197,233,310,400.52
  5. Step 5: Solve for x
    x = 197,233,310,400.52/500,415.34
  6. Step 6: Final answer
    x = 394,139.22

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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.