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Finding the Fourth Proportional to 466,480.70, 643,941.98 and 313,607.55

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Solution

The fourth proportional to 466,480.70, 643,941.98 and 313,607.55 is: 432,911.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,480.70 : 643,941.98 = 313,607.55 : x
  2. Step 2: Convert to fraction form
    466,480.70/643,941.98 = 313,607.55/x
  3. Step 3: Cross multiply
    466,480.70x = 643,941.98 × 313,607.55
  4. Step 4: Simplify right side
    466,480.70x = 201,945,066,689.95
  5. Step 5: Solve for x
    x = 201,945,066,689.95/466,480.70
  6. Step 6: Final answer
    x = 432,911.94

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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.