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Finding the Fourth Proportional to 556,825.83, 768,419.61 and 302,177.03

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Solution

The fourth proportional to 556,825.83, 768,419.61 and 302,177.03 is: 417,004.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,825.83 : 768,419.61 = 302,177.03 : x
  2. Step 2: Convert to fraction form
    556,825.83/768,419.61 = 302,177.03/x
  3. Step 3: Cross multiply
    556,825.83x = 768,419.61 × 302,177.03
  4. Step 4: Simplify right side
    556,825.83x = 232,198,751,701.46
  5. Step 5: Solve for x
    x = 232,198,751,701.46/556,825.83
  6. Step 6: Final answer
    x = 417,004.28

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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.