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Finding the Fourth Proportional to 296,530.47, 409,212.81 and 160,566.10

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Solution

The fourth proportional to 296,530.47, 409,212.81 and 160,566.10 is: 221,581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,530.47 : 409,212.81 = 160,566.10 : x
  2. Step 2: Convert to fraction form
    296,530.47/409,212.81 = 160,566.10/x
  3. Step 3: Cross multiply
    296,530.47x = 409,212.81 × 160,566.10
  4. Step 4: Simplify right side
    296,530.47x = 65,705,703,948.71
  5. Step 5: Solve for x
    x = 65,705,703,948.71/296,530.47
  6. Step 6: Final answer
    x = 221,581.63

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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.