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Finding the Fourth Proportional to 511,408.08, 705,767.04 and 285,055.20

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Solution

The fourth proportional to 511,408.08, 705,767.04 and 285,055.20 is: 393,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,408.08 : 705,767.04 = 285,055.20 : x
  2. Step 2: Convert to fraction form
    511,408.08/705,767.04 = 285,055.20/x
  3. Step 3: Cross multiply
    511,408.08x = 705,767.04 × 285,055.20
  4. Step 4: Simplify right side
    511,408.08x = 201,182,564,740.61
  5. Step 5: Solve for x
    x = 201,182,564,740.61/511,408.08
  6. Step 6: Final answer
    x = 393,389.49

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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.