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Finding the Fourth Proportional to 470,714.04, 706,382.10 and 221,415.48

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Solution

The fourth proportional to 470,714.04, 706,382.10 and 221,415.48 is: 332,269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,714.04 : 706,382.10 = 221,415.48 : x
  2. Step 2: Convert to fraction form
    470,714.04/706,382.10 = 221,415.48/x
  3. Step 3: Cross multiply
    470,714.04x = 706,382.10 × 221,415.48
  4. Step 4: Simplify right side
    470,714.04x = 156,403,931,734.91
  5. Step 5: Solve for x
    x = 156,403,931,734.91/470,714.04
  6. Step 6: Final answer
    x = 332,269.53

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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.