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Finding the Fourth Proportional to 403,646, 557,048.76 and 224,798

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Solution

The fourth proportional to 403,646, 557,048.76 and 224,798 is: 310,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,646 : 557,048.76 = 224,798 : x
  2. Step 2: Convert to fraction form
    403,646/557,048.76 = 224,798/x
  3. Step 3: Cross multiply
    403,646x = 557,048.76 × 224,798
  4. Step 4: Simplify right side
    403,646x = 125,223,447,150.48
  5. Step 5: Solve for x
    x = 125,223,447,150.48/403,646
  6. Step 6: Final answer
    x = 310,230.86

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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.