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Finding the Fourth Proportional to 414,859.64, 572,561.80 and 242,830.22

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Solution

The fourth proportional to 414,859.64, 572,561.80 and 242,830.22 is: 335,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,859.64 : 572,561.80 = 242,830.22 : x
  2. Step 2: Convert to fraction form
    414,859.64/572,561.80 = 242,830.22/x
  3. Step 3: Cross multiply
    414,859.64x = 572,561.80 × 242,830.22
  4. Step 4: Simplify right side
    414,859.64x = 139,035,304,387.71
  5. Step 5: Solve for x
    x = 139,035,304,387.71/414,859.64
  6. Step 6: Final answer
    x = 335,138.18

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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.