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Finding the Fourth Proportional to 471,455.61, 650,608.74 and 256,597.23

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Solution

The fourth proportional to 471,455.61, 650,608.74 and 256,597.23 is: 354,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,455.61 : 650,608.74 = 256,597.23 : x
  2. Step 2: Convert to fraction form
    471,455.61/650,608.74 = 256,597.23/x
  3. Step 3: Cross multiply
    471,455.61x = 650,608.74 × 256,597.23
  4. Step 4: Simplify right side
    471,455.61x = 166,944,402,937.57
  5. Step 5: Solve for x
    x = 166,944,402,937.57/471,455.61
  6. Step 6: Final answer
    x = 354,104.18

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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.