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Finding the Fourth Proportional to 407,761.56, 562,669.72 and 238,094.08

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Solution

The fourth proportional to 407,761.56, 562,669.72 and 238,094.08 is: 328,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,761.56 : 562,669.72 = 238,094.08 : x
  2. Step 2: Convert to fraction form
    407,761.56/562,669.72 = 238,094.08/x
  3. Step 3: Cross multiply
    407,761.56x = 562,669.72 × 238,094.08
  4. Step 4: Simplify right side
    407,761.56x = 133,968,329,327.26
  5. Step 5: Solve for x
    x = 133,968,329,327.26/407,761.56
  6. Step 6: Final answer
    x = 328,545.75

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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.