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Finding the Fourth Proportional to 514,874.88, 772,281.54 and 305,843.04

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Solution

The fourth proportional to 514,874.88, 772,281.54 and 305,843.04 is: 458,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,874.88 : 772,281.54 = 305,843.04 : x
  2. Step 2: Convert to fraction form
    514,874.88/772,281.54 = 305,843.04/x
  3. Step 3: Cross multiply
    514,874.88x = 772,281.54 × 305,843.04
  4. Step 4: Simplify right side
    514,874.88x = 236,196,933,929.48
  5. Step 5: Solve for x
    x = 236,196,933,929.48/514,874.88
  6. Step 6: Final answer
    x = 458,746.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.