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Finding the Fourth Proportional to 417,127.68, 575,639.04 and 226,144

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Solution

The fourth proportional to 417,127.68, 575,639.04 and 226,144 is: 312,080.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,127.68 : 575,639.04 = 226,144 : x
  2. Step 2: Convert to fraction form
    417,127.68/575,639.04 = 226,144/x
  3. Step 3: Cross multiply
    417,127.68x = 575,639.04 × 226,144
  4. Step 4: Simplify right side
    417,127.68x = 130,177,315,061.76
  5. Step 5: Solve for x
    x = 130,177,315,061.76/417,127.68
  6. Step 6: Final answer
    x = 312,080.26

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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.