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Finding the Fourth Proportional to 464,742.93, 640,150.38 and 328,542.66

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Solution

The fourth proportional to 464,742.93, 640,150.38 and 328,542.66 is: 452,544.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,742.93 : 640,150.38 = 328,542.66 : x
  2. Step 2: Convert to fraction form
    464,742.93/640,150.38 = 328,542.66/x
  3. Step 3: Cross multiply
    464,742.93x = 640,150.38 × 328,542.66
  4. Step 4: Simplify right side
    464,742.93x = 210,316,708,645.21
  5. Step 5: Solve for x
    x = 210,316,708,645.21/464,742.93
  6. Step 6: Final answer
    x = 452,544.18

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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.