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Finding the Fourth Proportional to 504,051.60, 756,077.40 and 188,443.20

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Solution

The fourth proportional to 504,051.60, 756,077.40 and 188,443.20 is: 282,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,051.60 : 756,077.40 = 188,443.20 : x
  2. Step 2: Convert to fraction form
    504,051.60/756,077.40 = 188,443.20/x
  3. Step 3: Cross multiply
    504,051.60x = 756,077.40 × 188,443.20
  4. Step 4: Simplify right side
    504,051.60x = 142,477,644,703.68
  5. Step 5: Solve for x
    x = 142,477,644,703.68/504,051.60
  6. Step 6: Final answer
    x = 282,664.80

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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.