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Finding the Fourth Proportional to 385,802.72, 532,417.20 and 216,071.36

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Solution

The fourth proportional to 385,802.72, 532,417.20 and 216,071.36 is: 298,183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,802.72 : 532,417.20 = 216,071.36 : x
  2. Step 2: Convert to fraction form
    385,802.72/532,417.20 = 216,071.36/x
  3. Step 3: Cross multiply
    385,802.72x = 532,417.20 × 216,071.36
  4. Step 4: Simplify right side
    385,802.72x = 115,040,108,491.39
  5. Step 5: Solve for x
    x = 115,040,108,491.39/385,802.72
  6. Step 6: Final answer
    x = 298,183.77

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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.