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Finding the Fourth Proportional to 613,461, 846,508.14 and 341,466.24

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Solution

The fourth proportional to 613,461, 846,508.14 and 341,466.24 is: 471,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,461 : 846,508.14 = 341,466.24 : x
  2. Step 2: Convert to fraction form
    613,461/846,508.14 = 341,466.24/x
  3. Step 3: Cross multiply
    613,461x = 846,508.14 × 341,466.24
  4. Step 4: Simplify right side
    613,461x = 289,053,951,695.19
  5. Step 5: Solve for x
    x = 289,053,951,695.19/613,461
  6. Step 6: Final answer
    x = 471,185.54

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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.