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Finding the Fourth Proportional to 472,162.58, 651,567.81 and 257,298.26

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Solution

The fourth proportional to 472,162.58, 651,567.81 and 257,298.26 is: 355,062.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,162.58 : 651,567.81 = 257,298.26 : x
  2. Step 2: Convert to fraction form
    472,162.58/651,567.81 = 257,298.26/x
  3. Step 3: Cross multiply
    472,162.58x = 651,567.81 × 257,298.26
  4. Step 4: Simplify right side
    472,162.58x = 167,647,263,785.01
  5. Step 5: Solve for x
    x = 167,647,263,785.01/472,162.58
  6. Step 6: Final answer
    x = 355,062.58

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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.