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Finding the Fourth Proportional to 409,602.64, 614,172.48 and 169,580.80

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Solution

The fourth proportional to 409,602.64, 614,172.48 and 169,580.80 is: 254,275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,602.64 : 614,172.48 = 169,580.80 : x
  2. Step 2: Convert to fraction form
    409,602.64/614,172.48 = 169,580.80/x
  3. Step 3: Cross multiply
    409,602.64x = 614,172.48 × 169,580.80
  4. Step 4: Simplify right side
    409,602.64x = 104,151,860,496.38
  5. Step 5: Solve for x
    x = 104,151,860,496.38/409,602.64
  6. Step 6: Final answer
    x = 254,275.36

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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.