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Finding the Fourth Proportional to 429,106.76, 591,755.42 and 256,997.16

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Solution

The fourth proportional to 429,106.76, 591,755.42 and 256,997.16 is: 354,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,106.76 : 591,755.42 = 256,997.16 : x
  2. Step 2: Convert to fraction form
    429,106.76/591,755.42 = 256,997.16/x
  3. Step 3: Cross multiply
    429,106.76x = 591,755.42 × 256,997.16
  4. Step 4: Simplify right side
    429,106.76x = 152,079,462,354.61
  5. Step 5: Solve for x
    x = 152,079,462,354.61/429,106.76
  6. Step 6: Final answer
    x = 354,409.38

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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.