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Finding the Fourth Proportional to 472,165.69, 651,569.64 and 257,301.13

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Solution

The fourth proportional to 472,165.69, 651,569.64 and 257,301.13 is: 355,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,165.69 : 651,569.64 = 257,301.13 : x
  2. Step 2: Convert to fraction form
    472,165.69/651,569.64 = 257,301.13/x
  3. Step 3: Cross multiply
    472,165.69x = 651,569.64 × 257,301.13
  4. Step 4: Simplify right side
    472,165.69x = 167,649,604,645.69
  5. Step 5: Solve for x
    x = 167,649,604,645.69/472,165.69
  6. Step 6: Final answer
    x = 355,065.20

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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.