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Finding the Fourth Proportional to 598,341.09, 825,710.70 and 326,410.08

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Solution

The fourth proportional to 598,341.09, 825,710.70 and 326,410.08 is: 450,445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,341.09 : 825,710.70 = 326,410.08 : x
  2. Step 2: Convert to fraction form
    598,341.09/825,710.70 = 326,410.08/x
  3. Step 3: Cross multiply
    598,341.09x = 825,710.70 × 326,410.08
  4. Step 4: Simplify right side
    598,341.09x = 269,520,295,643.86
  5. Step 5: Solve for x
    x = 269,520,295,643.86/598,341.09
  6. Step 6: Final answer
    x = 450,445.91

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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.