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Finding the Fourth Proportional to 403,662, 557,070.84 and 224,814

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Solution

The fourth proportional to 403,662, 557,070.84 and 224,814 is: 310,252.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,662 : 557,070.84 = 224,814 : x
  2. Step 2: Convert to fraction form
    403,662/557,070.84 = 224,814/x
  3. Step 3: Cross multiply
    403,662x = 557,070.84 × 224,814
  4. Step 4: Simplify right side
    403,662x = 125,237,323,823.76
  5. Step 5: Solve for x
    x = 125,237,323,823.76/403,662
  6. Step 6: Final answer
    x = 310,252.94

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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.