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Finding the Fourth Proportional to 472,075.02, 651,455.31 and 257,216.85

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Solution

The fourth proportional to 472,075.02, 651,455.31 and 257,216.85 is: 354,954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,075.02 : 651,455.31 = 257,216.85 : x
  2. Step 2: Convert to fraction form
    472,075.02/651,455.31 = 257,216.85/x
  3. Step 3: Cross multiply
    472,075.02x = 651,455.31 × 257,216.85
  4. Step 4: Simplify right side
    472,075.02x = 167,565,282,753.97
  5. Step 5: Solve for x
    x = 167,565,282,753.97/472,075.02
  6. Step 6: Final answer
    x = 354,954.78

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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.