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Finding the Fourth Proportional to 333,210.49, 459,684.38 and 195,319.53

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Solution

The fourth proportional to 333,210.49, 459,684.38 and 195,319.53 is: 269,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,210.49 : 459,684.38 = 195,319.53 : x
  2. Step 2: Convert to fraction form
    333,210.49/459,684.38 = 195,319.53/x
  3. Step 3: Cross multiply
    333,210.49x = 459,684.38 × 195,319.53
  4. Step 4: Simplify right side
    333,210.49x = 89,785,337,538.24
  5. Step 5: Solve for x
    x = 89,785,337,538.24/333,210.49
  6. Step 6: Final answer
    x = 269,455.32

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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.