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Finding the Fourth Proportional to 333,514.68, 460,159.02 and 214,351.80

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Solution

The fourth proportional to 333,514.68, 460,159.02 and 214,351.80 is: 295,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,514.68 : 460,159.02 = 214,351.80 : x
  2. Step 2: Convert to fraction form
    333,514.68/460,159.02 = 214,351.80/x
  3. Step 3: Cross multiply
    333,514.68x = 460,159.02 × 214,351.80
  4. Step 4: Simplify right side
    333,514.68x = 98,635,914,223.24
  5. Step 5: Solve for x
    x = 98,635,914,223.24/333,514.68
  6. Step 6: Final answer
    x = 295,746.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.