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Finding the Fourth Proportional to 414,507, 572,019.66 and 235,659

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Solution

The fourth proportional to 414,507, 572,019.66 and 235,659 is: 325,209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,507 : 572,019.66 = 235,659 : x
  2. Step 2: Convert to fraction form
    414,507/572,019.66 = 235,659/x
  3. Step 3: Cross multiply
    414,507x = 572,019.66 × 235,659
  4. Step 4: Simplify right side
    414,507x = 134,801,581,055.94
  5. Step 5: Solve for x
    x = 134,801,581,055.94/414,507
  6. Step 6: Final answer
    x = 325,209.42

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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.