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Finding the Fourth Proportional to 561,547.44, 774,703.36 and 408,249.52

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Solution

The fourth proportional to 561,547.44, 774,703.36 and 408,249.52 is: 563,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,547.44 : 774,703.36 = 408,249.52 : x
  2. Step 2: Convert to fraction form
    561,547.44/774,703.36 = 408,249.52/x
  3. Step 3: Cross multiply
    561,547.44x = 774,703.36 × 408,249.52
  4. Step 4: Simplify right side
    561,547.44x = 316,272,274,862.39
  5. Step 5: Solve for x
    x = 316,272,274,862.39/561,547.44
  6. Step 6: Final answer
    x = 563,215.59

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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.