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Finding the Fourth Proportional to 561,406.35, 774,741.74 and 306,752.07

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Solution

The fourth proportional to 561,406.35, 774,741.74 and 306,752.07 is: 423,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,406.35 : 774,741.74 = 306,752.07 : x
  2. Step 2: Convert to fraction form
    561,406.35/774,741.74 = 306,752.07/x
  3. Step 3: Cross multiply
    561,406.35x = 774,741.74 × 306,752.07
  4. Step 4: Simplify right side
    561,406.35x = 237,653,632,460.40
  5. Step 5: Solve for x
    x = 237,653,632,460.40/561,406.35
  6. Step 6: Final answer
    x = 423,318.39

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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.