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Finding the Fourth Proportional to 561,580.58, 774,983.22 and 306,931.88

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Solution

The fourth proportional to 561,580.58, 774,983.22 and 306,931.88 is: 423,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,580.58 : 774,983.22 = 306,931.88 : x
  2. Step 2: Convert to fraction form
    561,580.58/774,983.22 = 306,931.88/x
  3. Step 3: Cross multiply
    561,580.58x = 774,983.22 × 306,931.88
  4. Step 4: Simplify right side
    561,580.58x = 237,867,056,683.05
  5. Step 5: Solve for x
    x = 237,867,056,683.05/561,580.58
  6. Step 6: Final answer
    x = 423,567.10

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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.