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Finding the Fourth Proportional to 432,129.05, 596,148.22 and 412,118

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Solution

The fourth proportional to 432,129.05, 596,148.22 and 412,118 is: 568,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,129.05 : 596,148.22 = 412,118 : x
  2. Step 2: Convert to fraction form
    432,129.05/596,148.22 = 412,118/x
  3. Step 3: Cross multiply
    432,129.05x = 596,148.22 × 412,118
  4. Step 4: Simplify right side
    432,129.05x = 245,683,412,129.96
  5. Step 5: Solve for x
    x = 245,683,412,129.96/432,129.05
  6. Step 6: Final answer
    x = 568,541.76

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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.