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Finding the Fourth Proportional to 462,362.76, 638,048.61 and 258,415.38

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Solution

The fourth proportional to 462,362.76, 638,048.61 and 258,415.38 is: 356,606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,362.76 : 638,048.61 = 258,415.38 : x
  2. Step 2: Convert to fraction form
    462,362.76/638,048.61 = 258,415.38/x
  3. Step 3: Cross multiply
    462,362.76x = 638,048.61 × 258,415.38
  4. Step 4: Simplify right side
    462,362.76x = 164,881,574,011.62
  5. Step 5: Solve for x
    x = 164,881,574,011.62/462,362.76
  6. Step 6: Final answer
    x = 356,606.52

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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.