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Finding the Fourth Proportional to 497,334.94, 686,322.32 and 270,980.44

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Solution

The fourth proportional to 497,334.94, 686,322.32 and 270,980.44 is: 373,953.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,334.94 : 686,322.32 = 270,980.44 : x
  2. Step 2: Convert to fraction form
    497,334.94/686,322.32 = 270,980.44/x
  3. Step 3: Cross multiply
    497,334.94x = 686,322.32 × 270,980.44
  4. Step 4: Simplify right side
    497,334.94x = 185,979,921,184.71
  5. Step 5: Solve for x
    x = 185,979,921,184.71/497,334.94
  6. Step 6: Final answer
    x = 373,953.06

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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.