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Finding the Fourth Proportional to 414,643.24, 572,204.10 and 235,795.24

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Solution

The fourth proportional to 414,643.24, 572,204.10 and 235,795.24 is: 325,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,643.24 : 572,204.10 = 235,795.24 : x
  2. Step 2: Convert to fraction form
    414,643.24/572,204.10 = 235,795.24/x
  3. Step 3: Cross multiply
    414,643.24x = 572,204.10 × 235,795.24
  4. Step 4: Simplify right side
    414,643.24x = 134,923,003,088.48
  5. Step 5: Solve for x
    x = 134,923,003,088.48/414,643.24
  6. Step 6: Final answer
    x = 325,395.40

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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.