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Finding the Fourth Proportional to 472,135.48, 651,546.72 and 257,275.24

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Solution

The fourth proportional to 472,135.48, 651,546.72 and 257,275.24 is: 355,039.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,135.48 : 651,546.72 = 257,275.24 : x
  2. Step 2: Convert to fraction form
    472,135.48/651,546.72 = 257,275.24/x
  3. Step 3: Cross multiply
    472,135.48x = 651,546.72 × 257,275.24
  4. Step 4: Simplify right side
    472,135.48x = 167,626,838,759.21
  5. Step 5: Solve for x
    x = 167,626,838,759.21/472,135.48
  6. Step 6: Final answer
    x = 355,039.70

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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.