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Finding the Fourth Proportional to 469,079.16, 647,327.61 and 254,224.50

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Solution

The fourth proportional to 469,079.16, 647,327.61 and 254,224.50 is: 350,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,079.16 : 647,327.61 = 254,224.50 : x
  2. Step 2: Convert to fraction form
    469,079.16/647,327.61 = 254,224.50/x
  3. Step 3: Cross multiply
    469,079.16x = 647,327.61 × 254,224.50
  4. Step 4: Simplify right side
    469,079.16x = 164,566,537,988.45
  5. Step 5: Solve for x
    x = 164,566,537,988.45/469,079.16
  6. Step 6: Final answer
    x = 350,828.93

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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.