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Finding the Fourth Proportional to 428,707.74, 591,574.05 and 247,478.05

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Solution

The fourth proportional to 428,707.74, 591,574.05 and 247,478.05 is: 341,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,707.74 : 591,574.05 = 247,478.05 : x
  2. Step 2: Convert to fraction form
    428,707.74/591,574.05 = 247,478.05/x
  3. Step 3: Cross multiply
    428,707.74x = 591,574.05 × 247,478.05
  4. Step 4: Simplify right side
    428,707.74x = 146,401,592,744.96
  5. Step 5: Solve for x
    x = 146,401,592,744.96/428,707.74
  6. Step 6: Final answer
    x = 341,495.10

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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.