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Finding the Fourth Proportional to 469,430.64, 647,810.73 and 254,571.12

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Solution

The fourth proportional to 469,430.64, 647,810.73 and 254,571.12 is: 351,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,430.64 : 647,810.73 = 254,571.12 : x
  2. Step 2: Convert to fraction form
    469,430.64/647,810.73 = 254,571.12/x
  3. Step 3: Cross multiply
    469,430.64x = 647,810.73 × 254,571.12
  4. Step 4: Simplify right side
    469,430.64x = 164,913,903,084.12
  5. Step 5: Solve for x
    x = 164,913,903,084.12/469,430.64
  6. Step 6: Final answer
    x = 351,306.22

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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.