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Finding the Fourth Proportional to 407,914.66, 563,002.77 and 260,645.32

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Solution

The fourth proportional to 407,914.66, 563,002.77 and 260,645.32 is: 359,742.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,914.66 : 563,002.77 = 260,645.32 : x
  2. Step 2: Convert to fraction form
    407,914.66/563,002.77 = 260,645.32/x
  3. Step 3: Cross multiply
    407,914.66x = 563,002.77 × 260,645.32
  4. Step 4: Simplify right side
    407,914.66x = 146,744,037,147.54
  5. Step 5: Solve for x
    x = 146,744,037,147.54/407,914.66
  6. Step 6: Final answer
    x = 359,742.00

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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.