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Finding the Fourth Proportional to 500,389.22, 690,365.76 and 285,374.72

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Solution

The fourth proportional to 500,389.22, 690,365.76 and 285,374.72 is: 393,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,389.22 : 690,365.76 = 285,374.72 : x
  2. Step 2: Convert to fraction form
    500,389.22/690,365.76 = 285,374.72/x
  3. Step 3: Cross multiply
    500,389.22x = 690,365.76 × 285,374.72
  4. Step 4: Simplify right side
    500,389.22x = 197,012,935,457.59
  5. Step 5: Solve for x
    x = 197,012,935,457.59/500,389.22
  6. Step 6: Final answer
    x = 393,719.38

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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.