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Finding the Fourth Proportional to 424,552.16, 585,877.14 and 316,141.44

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Solution

The fourth proportional to 424,552.16, 585,877.14 and 316,141.44 is: 436,271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,552.16 : 585,877.14 = 316,141.44 : x
  2. Step 2: Convert to fraction form
    424,552.16/585,877.14 = 316,141.44/x
  3. Step 3: Cross multiply
    424,552.16x = 585,877.14 × 316,141.44
  4. Step 4: Simplify right side
    424,552.16x = 185,220,042,702.68
  5. Step 5: Solve for x
    x = 185,220,042,702.68/424,552.16
  6. Step 6: Final answer
    x = 436,271.58

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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.