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Finding the Fourth Proportional to 566,363.34, 781,575.48 and 311,709.06

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Solution

The fourth proportional to 566,363.34, 781,575.48 and 311,709.06 is: 430,155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,363.34 : 781,575.48 = 311,709.06 : x
  2. Step 2: Convert to fraction form
    566,363.34/781,575.48 = 311,709.06/x
  3. Step 3: Cross multiply
    566,363.34x = 781,575.48 × 311,709.06
  4. Step 4: Simplify right side
    566,363.34x = 243,624,158,189.85
  5. Step 5: Solve for x
    x = 243,624,158,189.85/566,363.34
  6. Step 6: Final answer
    x = 430,155.24

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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.