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Finding the Fourth Proportional to 402,375, 603,655.86 and 118,054.08

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Solution

The fourth proportional to 402,375, 603,655.86 and 118,054.08 is: 177,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,375 : 603,655.86 = 118,054.08 : x
  2. Step 2: Convert to fraction form
    402,375/603,655.86 = 118,054.08/x
  3. Step 3: Cross multiply
    402,375x = 603,655.86 × 118,054.08
  4. Step 4: Simplify right side
    402,375x = 71,264,037,188.91
  5. Step 5: Solve for x
    x = 71,264,037,188.91/402,375
  6. Step 6: Final answer
    x = 177,108.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.