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Finding the Fourth Proportional to 502,903.17, 693,836.53 and 285,088.49

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Solution

The fourth proportional to 502,903.17, 693,836.53 and 285,088.49 is: 393,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,903.17 : 693,836.53 = 285,088.49 : x
  2. Step 2: Convert to fraction form
    502,903.17/693,836.53 = 285,088.49/x
  3. Step 3: Cross multiply
    502,903.17x = 693,836.53 × 285,088.49
  4. Step 4: Simplify right side
    502,903.17x = 197,804,803,749.92
  5. Step 5: Solve for x
    x = 197,804,803,749.92/502,903.17
  6. Step 6: Final answer
    x = 393,325.83

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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.