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Finding the Fourth Proportional to 497,184.94, 686,115.39 and 270,830.44

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Solution

The fourth proportional to 497,184.94, 686,115.39 and 270,830.44 is: 373,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,184.94 : 686,115.39 = 270,830.44 : x
  2. Step 2: Convert to fraction form
    497,184.94/686,115.39 = 270,830.44/x
  3. Step 3: Cross multiply
    497,184.94x = 686,115.39 × 270,830.44
  4. Step 4: Simplify right side
    497,184.94x = 185,820,932,964.47
  5. Step 5: Solve for x
    x = 185,820,932,964.47/497,184.94
  6. Step 6: Final answer
    x = 373,746.10

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1.5x scale

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.