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Finding the Fourth Proportional to 472,224.77, 651,678.24 and 257,376.62

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Solution

The fourth proportional to 472,224.77, 651,678.24 and 257,376.62 is: 355,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,224.77 : 651,678.24 = 257,376.62 : x
  2. Step 2: Convert to fraction form
    472,224.77/651,678.24 = 257,376.62/x
  3. Step 3: Cross multiply
    472,224.77x = 651,678.24 × 257,376.62
  4. Step 4: Simplify right side
    472,224.77x = 167,726,742,738.75
  5. Step 5: Solve for x
    x = 167,726,742,738.75/472,224.77
  6. Step 6: Final answer
    x = 355,184.13

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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.