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Finding the Fourth Proportional to 420,994.16, 581,138.16 and 259,914.32

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Solution

The fourth proportional to 420,994.16, 581,138.16 and 259,914.32 is: 358,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,994.16 : 581,138.16 = 259,914.32 : x
  2. Step 2: Convert to fraction form
    420,994.16/581,138.16 = 259,914.32/x
  3. Step 3: Cross multiply
    420,994.16x = 581,138.16 × 259,914.32
  4. Step 4: Simplify right side
    420,994.16x = 151,046,129,682.45
  5. Step 5: Solve for x
    x = 151,046,129,682.45/420,994.16
  6. Step 6: Final answer
    x = 358,784.38

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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.