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Finding the Fourth Proportional to 280,144.82, 386,597.36 and 152,817.68

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Solution

The fourth proportional to 280,144.82, 386,597.36 and 152,817.68 is: 210,887.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,144.82 : 386,597.36 = 152,817.68 : x
  2. Step 2: Convert to fraction form
    280,144.82/386,597.36 = 152,817.68/x
  3. Step 3: Cross multiply
    280,144.82x = 386,597.36 × 152,817.68
  4. Step 4: Simplify right side
    280,144.82x = 59,078,911,649.32
  5. Step 5: Solve for x
    x = 59,078,911,649.32/280,144.82
  6. Step 6: Final answer
    x = 210,887.04

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1.5x scale

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.