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Finding the Fourth Proportional to 601,083.14, 829,494.74 and 346,450.73

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Solution

The fourth proportional to 601,083.14, 829,494.74 and 346,450.73 is: 478,102.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,083.14 : 829,494.74 = 346,450.73 : x
  2. Step 2: Convert to fraction form
    601,083.14/829,494.74 = 346,450.73/x
  3. Step 3: Cross multiply
    601,083.14x = 829,494.74 × 346,450.73
  4. Step 4: Simplify right side
    601,083.14x = 287,379,056,471.91
  5. Step 5: Solve for x
    x = 287,379,056,471.91/601,083.14
  6. Step 6: Final answer
    x = 478,102.01

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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.