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Finding the Fourth Proportional to 462,012.75, 637,570.81 and 258,066.49

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Solution

The fourth proportional to 462,012.75, 637,570.81 and 258,066.49 is: 356,127.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,012.75 : 637,570.81 = 258,066.49 : x
  2. Step 2: Convert to fraction form
    462,012.75/637,570.81 = 258,066.49/x
  3. Step 3: Cross multiply
    462,012.75x = 637,570.81 × 258,066.49
  4. Step 4: Simplify right side
    462,012.75x = 164,535,661,063.16
  5. Step 5: Solve for x
    x = 164,535,661,063.16/462,012.75
  6. Step 6: Final answer
    x = 356,127.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.