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Finding the Fourth Proportional to 462,518.52, 638,226.59 and 258,547.97

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Solution

The fourth proportional to 462,518.52, 638,226.59 and 258,547.97 is: 356,768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,518.52 : 638,226.59 = 258,547.97 : x
  2. Step 2: Convert to fraction form
    462,518.52/638,226.59 = 258,547.97/x
  3. Step 3: Cross multiply
    462,518.52x = 638,226.59 × 258,547.97
  4. Step 4: Simplify right side
    462,518.52x = 165,012,184,760.65
  5. Step 5: Solve for x
    x = 165,012,184,760.65/462,518.52
  6. Step 6: Final answer
    x = 356,768.82

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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.