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Finding the Fourth Proportional to 566,157.60, 781,294.68 and 311,507.64

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Solution

The fourth proportional to 566,157.60, 781,294.68 and 311,507.64 is: 429,879.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,157.60 : 781,294.68 = 311,507.64 : x
  2. Step 2: Convert to fraction form
    566,157.60/781,294.68 = 311,507.64/x
  3. Step 3: Cross multiply
    566,157.60x = 781,294.68 × 311,507.64
  4. Step 4: Simplify right side
    566,157.60x = 243,379,261,911.36
  5. Step 5: Solve for x
    x = 243,379,261,911.36/566,157.60
  6. Step 6: Final answer
    x = 429,879.00

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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.