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Finding the Fourth Proportional to 417,798.90, 576,569.50 and 226,812.32

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Solution

The fourth proportional to 417,798.90, 576,569.50 and 226,812.32 is: 313,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,798.90 : 576,569.50 = 226,812.32 : x
  2. Step 2: Convert to fraction form
    417,798.90/576,569.50 = 226,812.32/x
  3. Step 3: Cross multiply
    417,798.90x = 576,569.50 × 226,812.32
  4. Step 4: Simplify right side
    417,798.90x = 130,773,065,936.24
  5. Step 5: Solve for x
    x = 130,773,065,936.24/417,798.90
  6. Step 6: Final answer
    x = 313,004.81

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1.5x scale

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.