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Finding the Fourth Proportional to 501,114.50, 751,657.16 and 185,564.42

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Solution

The fourth proportional to 501,114.50, 751,657.16 and 185,564.42 is: 278,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,114.50 : 751,657.16 = 185,564.42 : x
  2. Step 2: Convert to fraction form
    501,114.50/751,657.16 = 185,564.42/x
  3. Step 3: Cross multiply
    501,114.50x = 751,657.16 × 185,564.42
  4. Step 4: Simplify right side
    501,114.50x = 139,480,824,934.25
  5. Step 5: Solve for x
    x = 139,480,824,934.25/501,114.50
  6. Step 6: Final answer
    x = 278,341.23

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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.