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Finding the Fourth Proportional to 471,337.66, 650,435.34 and 256,478.32

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Solution

The fourth proportional to 471,337.66, 650,435.34 and 256,478.32 is: 353,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,337.66 : 650,435.34 = 256,478.32 : x
  2. Step 2: Convert to fraction form
    471,337.66/650,435.34 = 256,478.32/x
  3. Step 3: Cross multiply
    471,337.66x = 650,435.34 × 256,478.32
  4. Step 4: Simplify right side
    471,337.66x = 166,822,563,271.83
  5. Step 5: Solve for x
    x = 166,822,563,271.83/471,337.66
  6. Step 6: Final answer
    x = 353,934.30

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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.