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Finding the Fourth Proportional to 613,449, 846,543.10 and 341,516.90

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Solution

The fourth proportional to 613,449, 846,543.10 and 341,516.90 is: 471,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,449 : 846,543.10 = 341,516.90 : x
  2. Step 2: Convert to fraction form
    613,449/846,543.10 = 341,516.90/x
  3. Step 3: Cross multiply
    613,449x = 846,543.10 × 341,516.90
  4. Step 4: Simplify right side
    613,449x = 289,108,775,228.39
  5. Step 5: Solve for x
    x = 289,108,775,228.39/613,449
  6. Step 6: Final answer
    x = 471,284.13

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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.