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Finding the Fourth Proportional to 402,655.12, 604,070.97 and 122,194.24

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Solution

The fourth proportional to 402,655.12, 604,070.97 and 122,194.24 is: 183,318.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,655.12 : 604,070.97 = 122,194.24 : x
  2. Step 2: Convert to fraction form
    402,655.12/604,070.97 = 122,194.24/x
  3. Step 3: Cross multiply
    402,655.12x = 604,070.97 × 122,194.24
  4. Step 4: Simplify right side
    402,655.12x = 73,813,993,085.21
  5. Step 5: Solve for x
    x = 73,813,993,085.21/402,655.12
  6. Step 6: Final answer
    x = 183,318.15

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1.5x scale

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.