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Finding the Fourth Proportional to 557,297.16, 769,305.42 and 376,254.24

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Solution

The fourth proportional to 557,297.16, 769,305.42 and 376,254.24 is: 519,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,297.16 : 769,305.42 = 376,254.24 : x
  2. Step 2: Convert to fraction form
    557,297.16/769,305.42 = 376,254.24/x
  3. Step 3: Cross multiply
    557,297.16x = 769,305.42 × 376,254.24
  4. Step 4: Simplify right side
    557,297.16x = 289,454,426,129.98
  5. Step 5: Solve for x
    x = 289,454,426,129.98/557,297.16
  6. Step 6: Final answer
    x = 519,389.74

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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.