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Finding the Fourth Proportional to 857,509.20, 1,183,435.38 and 475,659

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Solution

The fourth proportional to 857,509.20, 1,183,435.38 and 475,659 is: 656,449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,509.20 : 1,183,435.38 = 475,659 : x
  2. Step 2: Convert to fraction form
    857,509.20/1,183,435.38 = 475,659/x
  3. Step 3: Cross multiply
    857,509.20x = 1,183,435.38 × 475,659
  4. Step 4: Simplify right side
    857,509.20x = 562,911,689,415.42
  5. Step 5: Solve for x
    x = 562,911,689,415.42/857,509.20
  6. Step 6: Final answer
    x = 656,449.74

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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.