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Finding the Fourth Proportional to 402,202.30, 603,303.45 and 165,714.70

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Solution

The fourth proportional to 402,202.30, 603,303.45 and 165,714.70 is: 248,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,202.30 : 603,303.45 = 165,714.70 : x
  2. Step 2: Convert to fraction form
    402,202.30/603,303.45 = 165,714.70/x
  3. Step 3: Cross multiply
    402,202.30x = 603,303.45 × 165,714.70
  4. Step 4: Simplify right side
    402,202.30x = 99,976,250,225.72
  5. Step 5: Solve for x
    x = 99,976,250,225.72/402,202.30
  6. Step 6: Final answer
    x = 248,572.05

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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.