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Finding the Fourth Proportional to 402,973.90, 604,460.70 and 118,664.48

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Solution

The fourth proportional to 402,973.90, 604,460.70 and 118,664.48 is: 177,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,973.90 : 604,460.70 = 118,664.48 : x
  2. Step 2: Convert to fraction form
    402,973.90/604,460.70 = 118,664.48/x
  3. Step 3: Cross multiply
    402,973.90x = 604,460.70 × 118,664.48
  4. Step 4: Simplify right side
    402,973.90x = 71,728,016,157.09
  5. Step 5: Solve for x
    x = 71,728,016,157.09/402,973.90
  6. Step 6: Final answer
    x = 177,996.68

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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.