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Finding the Fourth Proportional to 437,886.70, 656,830.05 and 402,457.30

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Solution

The fourth proportional to 437,886.70, 656,830.05 and 402,457.30 is: 603,685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,886.70 : 656,830.05 = 402,457.30 : x
  2. Step 2: Convert to fraction form
    437,886.70/656,830.05 = 402,457.30/x
  3. Step 3: Cross multiply
    437,886.70x = 656,830.05 × 402,457.30
  4. Step 4: Simplify right side
    437,886.70x = 264,346,048,481.87
  5. Step 5: Solve for x
    x = 264,346,048,481.87/437,886.70
  6. Step 6: Final answer
    x = 603,685.95

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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.