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Finding the Fourth Proportional to 265,088.90, 397,482.80 and 180,950.96

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Solution

The fourth proportional to 265,088.90, 397,482.80 and 180,950.96 is: 271,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,088.90 : 397,482.80 = 180,950.96 : x
  2. Step 2: Convert to fraction form
    265,088.90/397,482.80 = 180,950.96/x
  3. Step 3: Cross multiply
    265,088.90x = 397,482.80 × 180,950.96
  4. Step 4: Simplify right side
    265,088.90x = 71,924,894,332.44
  5. Step 5: Solve for x
    x = 71,924,894,332.44/265,088.90
  6. Step 6: Final answer
    x = 271,323.67

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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.