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Finding the Fourth Proportional to 472,097.17, 651,494.24 and 257,237.18

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Solution

The fourth proportional to 472,097.17, 651,494.24 and 257,237.18 is: 354,987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,097.17 : 651,494.24 = 257,237.18 : x
  2. Step 2: Convert to fraction form
    472,097.17/651,494.24 = 257,237.18/x
  3. Step 3: Cross multiply
    472,097.17x = 651,494.24 × 257,237.18
  4. Step 4: Simplify right side
    472,097.17x = 167,588,539,947.93
  5. Step 5: Solve for x
    x = 167,588,539,947.93/472,097.17
  6. Step 6: Final answer
    x = 354,987.38

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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.