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Finding the Fourth Proportional to 462,011.75, 637,569.43 and 258,065.49

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Solution

The fourth proportional to 462,011.75, 637,569.43 and 258,065.49 is: 356,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,011.75 : 637,569.43 = 258,065.49 : x
  2. Step 2: Convert to fraction form
    462,011.75/637,569.43 = 258,065.49/x
  3. Step 3: Cross multiply
    462,011.75x = 637,569.43 × 258,065.49
  4. Step 4: Simplify right side
    462,011.75x = 164,534,669,107.69
  5. Step 5: Solve for x
    x = 164,534,669,107.69/462,011.75
  6. Step 6: Final answer
    x = 356,126.59

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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.