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Finding the Fourth Proportional to 389,598.10, 584,160.62 and 152,656.90

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Solution

The fourth proportional to 389,598.10, 584,160.62 and 152,656.90 is: 228,892.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,598.10 : 584,160.62 = 152,656.90 : x
  2. Step 2: Convert to fraction form
    389,598.10/584,160.62 = 152,656.90/x
  3. Step 3: Cross multiply
    389,598.10x = 584,160.62 × 152,656.90
  4. Step 4: Simplify right side
    389,598.10x = 89,176,149,351.28
  5. Step 5: Solve for x
    x = 89,176,149,351.28/389,598.10
  6. Step 6: Final answer
    x = 228,892.67

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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.