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Finding the Fourth Proportional to 472,504.06, 708,769.05 and 152,669.62

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Solution

The fourth proportional to 472,504.06, 708,769.05 and 152,669.62 is: 229,008.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,504.06 : 708,769.05 = 152,669.62 : x
  2. Step 2: Convert to fraction form
    472,504.06/708,769.05 = 152,669.62/x
  3. Step 3: Cross multiply
    472,504.06x = 708,769.05 × 152,669.62
  4. Step 4: Simplify right side
    472,504.06x = 108,207,501,531.26
  5. Step 5: Solve for x
    x = 108,207,501,531.26/472,504.06
  6. Step 6: Final answer
    x = 229,008.62

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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.