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Finding the Fourth Proportional to 497,705.16, 746,115.66 and 194,029.32

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Solution

The fourth proportional to 497,705.16, 746,115.66 and 194,029.32 is: 290,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,705.16 : 746,115.66 = 194,029.32 : x
  2. Step 2: Convert to fraction form
    497,705.16/746,115.66 = 194,029.32/x
  3. Step 3: Cross multiply
    497,705.16x = 746,115.66 × 194,029.32
  4. Step 4: Simplify right side
    497,705.16x = 144,768,314,151.15
  5. Step 5: Solve for x
    x = 144,768,314,151.15/497,705.16
  6. Step 6: Final answer
    x = 290,871.64

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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.