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Finding the Fourth Proportional to 472,014.55, 651,378.13 and 257,153.95

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Solution

The fourth proportional to 472,014.55, 651,378.13 and 257,153.95 is: 354,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,014.55 : 651,378.13 = 257,153.95 : x
  2. Step 2: Convert to fraction form
    472,014.55/651,378.13 = 257,153.95/x
  3. Step 3: Cross multiply
    472,014.55x = 651,378.13 × 257,153.95
  4. Step 4: Simplify right side
    472,014.55x = 167,504,459,073.11
  5. Step 5: Solve for x
    x = 167,504,459,073.11/472,014.55
  6. Step 6: Final answer
    x = 354,871.39

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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.