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Finding the Fourth Proportional to 328,627.74, 492,646.26 and 118,118

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Solution

The fourth proportional to 328,627.74, 492,646.26 and 118,118 is: 177,070.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,627.74 : 492,646.26 = 118,118 : x
  2. Step 2: Convert to fraction form
    328,627.74/492,646.26 = 118,118/x
  3. Step 3: Cross multiply
    328,627.74x = 492,646.26 × 118,118
  4. Step 4: Simplify right side
    328,627.74x = 58,190,390,938.68
  5. Step 5: Solve for x
    x = 58,190,390,938.68/328,627.74
  6. Step 6: Final answer
    x = 177,070.84

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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.