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Finding the Fourth Proportional to 466,452.58, 643,697.12 and 259,718.98

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Solution

The fourth proportional to 466,452.58, 643,697.12 and 259,718.98 is: 358,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,452.58 : 643,697.12 = 259,718.98 : x
  2. Step 2: Convert to fraction form
    466,452.58/643,697.12 = 259,718.98/x
  3. Step 3: Cross multiply
    466,452.58x = 643,697.12 × 259,718.98
  4. Step 4: Simplify right side
    466,452.58x = 167,180,359,435.34
  5. Step 5: Solve for x
    x = 167,180,359,435.34/466,452.58
  6. Step 6: Final answer
    x = 358,408.05

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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.