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Finding the Fourth Proportional to 472,164.69, 651,568.26 and 257,300.13

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Solution

The fourth proportional to 472,164.69, 651,568.26 and 257,300.13 is: 355,063.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,164.69 : 651,568.26 = 257,300.13 : x
  2. Step 2: Convert to fraction form
    472,164.69/651,568.26 = 257,300.13/x
  3. Step 3: Cross multiply
    472,164.69x = 651,568.26 × 257,300.13
  4. Step 4: Simplify right side
    472,164.69x = 167,648,598,001.87
  5. Step 5: Solve for x
    x = 167,648,598,001.87/472,164.69
  6. Step 6: Final answer
    x = 355,063.82

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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.