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Finding the Fourth Proportional to 382,924.49, 528,580.38 and 301,039.10

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Solution

The fourth proportional to 382,924.49, 528,580.38 and 301,039.10 is: 415,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,924.49 : 528,580.38 = 301,039.10 : x
  2. Step 2: Convert to fraction form
    382,924.49/528,580.38 = 301,039.10/x
  3. Step 3: Cross multiply
    382,924.49x = 528,580.38 × 301,039.10
  4. Step 4: Simplify right side
    382,924.49x = 159,123,361,872.86
  5. Step 5: Solve for x
    x = 159,123,361,872.86/382,924.49
  6. Step 6: Final answer
    x = 415,547.62

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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.