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Finding the Fourth Proportional to 556,826.34, 768,420.30 and 302,177.52

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Solution

The fourth proportional to 556,826.34, 768,420.30 and 302,177.52 is: 417,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,826.34 : 768,420.30 = 302,177.52 : x
  2. Step 2: Convert to fraction form
    556,826.34/768,420.30 = 302,177.52/x
  3. Step 3: Cross multiply
    556,826.34x = 768,420.30 × 302,177.52
  4. Step 4: Simplify right side
    556,826.34x = 232,199,340,571.66
  5. Step 5: Solve for x
    x = 232,199,340,571.66/556,826.34
  6. Step 6: Final answer
    x = 417,004.95

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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.