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Finding the Fourth Proportional to 556,047.83, 767,346.35 and 301,399.02

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Solution

The fourth proportional to 556,047.83, 767,346.35 and 301,399.02 is: 415,930.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,047.83 : 767,346.35 = 301,399.02 : x
  2. Step 2: Convert to fraction form
    556,047.83/767,346.35 = 301,399.02/x
  3. Step 3: Cross multiply
    556,047.83x = 767,346.35 × 301,399.02
  4. Step 4: Simplify right side
    556,047.83x = 231,277,436,383.58
  5. Step 5: Solve for x
    x = 231,277,436,383.58/556,047.83
  6. Step 6: Final answer
    x = 415,930.83

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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.