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Finding the Fourth Proportional to 433,543.20, 650,314.80 and 407,299.20

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Solution

The fourth proportional to 433,543.20, 650,314.80 and 407,299.20 is: 610,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,543.20 : 650,314.80 = 407,299.20 : x
  2. Step 2: Convert to fraction form
    433,543.20/650,314.80 = 407,299.20/x
  3. Step 3: Cross multiply
    433,543.20x = 650,314.80 × 407,299.20
  4. Step 4: Simplify right side
    433,543.20x = 264,872,697,788.16
  5. Step 5: Solve for x
    x = 264,872,697,788.16/433,543.20
  6. Step 6: Final answer
    x = 610,948.80

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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.