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Finding the Fourth Proportional to 434,281.64, 599,305.38 and 243,296.60

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Solution

The fourth proportional to 434,281.64, 599,305.38 and 243,296.60 is: 335,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,281.64 : 599,305.38 = 243,296.60 : x
  2. Step 2: Convert to fraction form
    434,281.64/599,305.38 = 243,296.60/x
  3. Step 3: Cross multiply
    434,281.64x = 599,305.38 × 243,296.60
  4. Step 4: Simplify right side
    434,281.64x = 145,808,961,315.71
  5. Step 5: Solve for x
    x = 145,808,961,315.71/434,281.64
  6. Step 6: Final answer
    x = 335,747.47

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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.