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Finding the Fourth Proportional to 566,341.74, 781,557.12 and 311,698.80

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Solution

The fourth proportional to 566,341.74, 781,557.12 and 311,698.80 is: 430,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,341.74 : 781,557.12 = 311,698.80 : x
  2. Step 2: Convert to fraction form
    566,341.74/781,557.12 = 311,698.80/x
  3. Step 3: Cross multiply
    566,341.74x = 781,557.12 × 311,698.80
  4. Step 4: Simplify right side
    566,341.74x = 243,610,416,435.46
  5. Step 5: Solve for x
    x = 243,610,416,435.46/566,341.74
  6. Step 6: Final answer
    x = 430,147.38

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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.