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Finding the Fourth Proportional to 916,625, 1,264,951.14 and 514,225.64

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Solution

The fourth proportional to 916,625, 1,264,951.14 and 514,225.64 is: 709,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,625 : 1,264,951.14 = 514,225.64 : x
  2. Step 2: Convert to fraction form
    916,625/1,264,951.14 = 514,225.64/x
  3. Step 3: Cross multiply
    916,625x = 1,264,951.14 × 514,225.64
  4. Step 4: Simplify right side
    916,625x = 650,470,309,535.23
  5. Step 5: Solve for x
    x = 650,470,309,535.23/916,625
  6. Step 6: Final answer
    x = 709,636.23

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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.