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Finding the Fourth Proportional to 601,210.32, 827,781.84 and 510,378

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Solution

The fourth proportional to 601,210.32, 827,781.84 and 510,378 is: 702,718.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,210.32 : 827,781.84 = 510,378 : x
  2. Step 2: Convert to fraction form
    601,210.32/827,781.84 = 510,378/x
  3. Step 3: Cross multiply
    601,210.32x = 827,781.84 × 510,378
  4. Step 4: Simplify right side
    601,210.32x = 422,481,639,935.52
  5. Step 5: Solve for x
    x = 422,481,639,935.52/601,210.32
  6. Step 6: Final answer
    x = 702,718.54

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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.