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Finding the Fourth Proportional to 613,773.66, 920,070.01 and 314,395.23

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Solution

The fourth proportional to 613,773.66, 920,070.01 and 314,395.23 is: 471,290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,773.66 : 920,070.01 = 314,395.23 : x
  2. Step 2: Convert to fraction form
    613,773.66/920,070.01 = 314,395.23/x
  3. Step 3: Cross multiply
    613,773.66x = 920,070.01 × 314,395.23
  4. Step 4: Simplify right side
    613,773.66x = 289,265,622,410.05
  5. Step 5: Solve for x
    x = 289,265,622,410.05/613,773.66
  6. Step 6: Final answer
    x = 471,290.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.