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Finding the Fourth Proportional to 556,649.56, 768,575.84 and 342,077.32

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Solution

The fourth proportional to 556,649.56, 768,575.84 and 342,077.32 is: 472,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,649.56 : 768,575.84 = 342,077.32 : x
  2. Step 2: Convert to fraction form
    556,649.56/768,575.84 = 342,077.32/x
  3. Step 3: Cross multiply
    556,649.56x = 768,575.84 × 342,077.32
  4. Step 4: Simplify right side
    556,649.56x = 262,912,363,563.95
  5. Step 5: Solve for x
    x = 262,912,363,563.95/556,649.56
  6. Step 6: Final answer
    x = 472,312.17

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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.