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Finding the Fourth Proportional to 464,042.40, 695,602.80 and 214,288.80

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Solution

The fourth proportional to 464,042.40, 695,602.80 and 214,288.80 is: 321,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,042.40 : 695,602.80 = 214,288.80 : x
  2. Step 2: Convert to fraction form
    464,042.40/695,602.80 = 214,288.80/x
  3. Step 3: Cross multiply
    464,042.40x = 695,602.80 × 214,288.80
  4. Step 4: Simplify right side
    464,042.40x = 149,059,889,288.64
  5. Step 5: Solve for x
    x = 149,059,889,288.64/464,042.40
  6. Step 6: Final answer
    x = 321,220.41

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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.