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Finding the Fourth Proportional to 414,503.50, 572,014.84 and 235,655.50

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Solution

The fourth proportional to 414,503.50, 572,014.84 and 235,655.50 is: 325,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,503.50 : 572,014.84 = 235,655.50 : x
  2. Step 2: Convert to fraction form
    414,503.50/572,014.84 = 235,655.50/x
  3. Step 3: Cross multiply
    414,503.50x = 572,014.84 × 235,655.50
  4. Step 4: Simplify right side
    414,503.50x = 134,798,443,127.62
  5. Step 5: Solve for x
    x = 134,798,443,127.62/414,503.50
  6. Step 6: Final answer
    x = 325,204.60

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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.