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Finding the Fourth Proportional to 604,123.02, 906,224.52 and 177,696.98

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Solution

The fourth proportional to 604,123.02, 906,224.52 and 177,696.98 is: 266,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,123.02 : 906,224.52 = 177,696.98 : x
  2. Step 2: Convert to fraction form
    604,123.02/906,224.52 = 177,696.98/x
  3. Step 3: Cross multiply
    604,123.02x = 906,224.52 × 177,696.98
  4. Step 4: Simplify right side
    604,123.02x = 161,033,360,405.95
  5. Step 5: Solve for x
    x = 161,033,360,405.95/604,123.02
  6. Step 6: Final answer
    x = 266,557.23

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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.