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Finding the Fourth Proportional to 556,069.23, 767,354.85 and 301,414.95

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Solution

The fourth proportional to 556,069.23, 767,354.85 and 301,414.95 is: 415,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,069.23 : 767,354.85 = 301,414.95 : x
  2. Step 2: Convert to fraction form
    556,069.23/767,354.85 = 301,414.95/x
  3. Step 3: Cross multiply
    556,069.23x = 767,354.85 × 301,414.95
  4. Step 4: Simplify right side
    556,069.23x = 231,292,223,745.01
  5. Step 5: Solve for x
    x = 231,292,223,745.01/556,069.23
  6. Step 6: Final answer
    x = 415,941.42

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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.