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Finding the Fourth Proportional to 654,136.77, 902,783.54 and 363,777.27

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Solution

The fourth proportional to 654,136.77, 902,783.54 and 363,777.27 is: 502,054.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,136.77 : 902,783.54 = 363,777.27 : x
  2. Step 2: Convert to fraction form
    654,136.77/902,783.54 = 363,777.27/x
  3. Step 3: Cross multiply
    654,136.77x = 902,783.54 × 363,777.27
  4. Step 4: Simplify right side
    654,136.77x = 328,412,129,763.25
  5. Step 5: Solve for x
    x = 328,412,129,763.25/654,136.77
  6. Step 6: Final answer
    x = 502,054.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.