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Finding the Fourth Proportional to 382,963.44, 528,569.64 and 230,008.74

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Solution

The fourth proportional to 382,963.44, 528,569.64 and 230,008.74 is: 317,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,963.44 : 528,569.64 = 230,008.74 : x
  2. Step 2: Convert to fraction form
    382,963.44/528,569.64 = 230,008.74/x
  3. Step 3: Cross multiply
    382,963.44x = 528,569.64 × 230,008.74
  4. Step 4: Simplify right side
    382,963.44x = 121,575,636,898.65
  5. Step 5: Solve for x
    x = 121,575,636,898.65/382,963.44
  6. Step 6: Final answer
    x = 317,460.17

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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.