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Finding the Fourth Proportional to 564,297.81, 846,443.79 and 199,829.79

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Solution

The fourth proportional to 564,297.81, 846,443.79 and 199,829.79 is: 299,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,297.81 : 846,443.79 = 199,829.79 : x
  2. Step 2: Convert to fraction form
    564,297.81/846,443.79 = 199,829.79/x
  3. Step 3: Cross multiply
    564,297.81x = 846,443.79 × 199,829.79
  4. Step 4: Simplify right side
    564,297.81x = 169,144,684,802.50
  5. Step 5: Solve for x
    x = 169,144,684,802.50/564,297.81
  6. Step 6: Final answer
    x = 299,743.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.