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Finding the Fourth Proportional to 657,458.96, 986,183.25 and 353,995.29

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Solution

The fourth proportional to 657,458.96, 986,183.25 and 353,995.29 is: 530,990.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,458.96 : 986,183.25 = 353,995.29 : x
  2. Step 2: Convert to fraction form
    657,458.96/986,183.25 = 353,995.29/x
  3. Step 3: Cross multiply
    657,458.96x = 986,183.25 × 353,995.29
  4. Step 4: Simplify right side
    657,458.96x = 349,104,225,576.89
  5. Step 5: Solve for x
    x = 349,104,225,576.89/657,458.96
  6. Step 6: Final answer
    x = 530,990.14

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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.