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Finding the Fourth Proportional to 470,116.94, 705,276.53 and 145,898.59

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Solution

The fourth proportional to 470,116.94, 705,276.53 and 145,898.59 is: 218,879.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,116.94 : 705,276.53 = 145,898.59 : x
  2. Step 2: Convert to fraction form
    470,116.94/705,276.53 = 145,898.59/x
  3. Step 3: Cross multiply
    470,116.94x = 705,276.53 × 145,898.59
  4. Step 4: Simplify right side
    470,116.94x = 102,898,851,287.09
  5. Step 5: Solve for x
    x = 102,898,851,287.09/470,116.94
  6. Step 6: Final answer
    x = 218,879.27

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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.