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Finding the Fourth Proportional to 583,416.32, 805,187.84 and 341,791.10

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Solution

The fourth proportional to 583,416.32, 805,187.84 and 341,791.10 is: 471,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,416.32 : 805,187.84 = 341,791.10 : x
  2. Step 2: Convert to fraction form
    583,416.32/805,187.84 = 341,791.10/x
  3. Step 3: Cross multiply
    583,416.32x = 805,187.84 × 341,791.10
  4. Step 4: Simplify right side
    583,416.32x = 275,206,037,540.22
  5. Step 5: Solve for x
    x = 275,206,037,540.22/583,416.32
  6. Step 6: Final answer
    x = 471,714.67

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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.