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Finding the Fourth Proportional to 472,431.36, 651,946.50 and 257,573.28

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Solution

The fourth proportional to 472,431.36, 651,946.50 and 257,573.28 is: 355,446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,431.36 : 651,946.50 = 257,573.28 : x
  2. Step 2: Convert to fraction form
    472,431.36/651,946.50 = 257,573.28/x
  3. Step 3: Cross multiply
    472,431.36x = 651,946.50 × 257,573.28
  4. Step 4: Simplify right side
    472,431.36x = 167,923,998,389.52
  5. Step 5: Solve for x
    x = 167,923,998,389.52/472,431.36
  6. Step 6: Final answer
    x = 355,446.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.