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Finding the Fourth Proportional to 333,385.30, 500,680.32 and 306,682.12

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Solution

The fourth proportional to 333,385.30, 500,680.32 and 306,682.12 is: 460,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,385.30 : 500,680.32 = 306,682.12 : x
  2. Step 2: Convert to fraction form
    333,385.30/500,680.32 = 306,682.12/x
  3. Step 3: Cross multiply
    333,385.30x = 500,680.32 × 306,682.12
  4. Step 4: Simplify right side
    333,385.30x = 153,549,701,979.88
  5. Step 5: Solve for x
    x = 153,549,701,979.88/333,385.30
  6. Step 6: Final answer
    x = 460,577.30

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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.