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Finding the Fourth Proportional to 318,202.64, 477,303.78 and 93,564.93

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Solution

The fourth proportional to 318,202.64, 477,303.78 and 93,564.93 is: 140,347.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,202.64 : 477,303.78 = 93,564.93 : x
  2. Step 2: Convert to fraction form
    318,202.64/477,303.78 = 93,564.93/x
  3. Step 3: Cross multiply
    318,202.64x = 477,303.78 × 93,564.93
  4. Step 4: Simplify right side
    318,202.64x = 44,658,894,764.44
  5. Step 5: Solve for x
    x = 44,658,894,764.44/318,202.64
  6. Step 6: Final answer
    x = 140,347.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.