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Finding the Fourth Proportional to 402,463.40, 603,003.90 and 212,642.60

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Solution

The fourth proportional to 402,463.40, 603,003.90 and 212,642.60 is: 318,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,463.40 : 603,003.90 = 212,642.60 : x
  2. Step 2: Convert to fraction form
    402,463.40/603,003.90 = 212,642.60/x
  3. Step 3: Cross multiply
    402,463.40x = 603,003.90 × 212,642.60
  4. Step 4: Simplify right side
    402,463.40x = 128,224,317,106.14
  5. Step 5: Solve for x
    x = 128,224,317,106.14/402,463.40
  6. Step 6: Final answer
    x = 318,598.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.