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Finding the Fourth Proportional to 472,224.66, 651,651.06 and 257,360.12

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Solution

The fourth proportional to 472,224.66, 651,651.06 and 257,360.12 is: 355,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,224.66 : 651,651.06 = 257,360.12 : x
  2. Step 2: Convert to fraction form
    472,224.66/651,651.06 = 257,360.12/x
  3. Step 3: Cross multiply
    472,224.66x = 651,651.06 × 257,360.12
  4. Step 4: Simplify right side
    472,224.66x = 167,708,991,741.47
  5. Step 5: Solve for x
    x = 167,708,991,741.47/472,224.66
  6. Step 6: Final answer
    x = 355,146.62

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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.