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Finding the Fourth Proportional to 470,766.60, 706,297.46 and 155,444.94

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Solution

The fourth proportional to 470,766.60, 706,297.46 and 155,444.94 is: 233,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,766.60 : 706,297.46 = 155,444.94 : x
  2. Step 2: Convert to fraction form
    470,766.60/706,297.46 = 155,444.94/x
  3. Step 3: Cross multiply
    470,766.60x = 706,297.46 × 155,444.94
  4. Step 4: Simplify right side
    470,766.60x = 109,790,365,514.63
  5. Step 5: Solve for x
    x = 109,790,365,514.63/470,766.60
  6. Step 6: Final answer
    x = 233,216.13

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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.