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Finding the Fourth Proportional to 596,534.64, 823,201.56 and 328,262.64

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Solution

The fourth proportional to 596,534.64, 823,201.56 and 328,262.64 is: 452,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,534.64 : 823,201.56 = 328,262.64 : x
  2. Step 2: Convert to fraction form
    596,534.64/823,201.56 = 328,262.64/x
  3. Step 3: Cross multiply
    596,534.64x = 823,201.56 × 328,262.64
  4. Step 4: Simplify right side
    596,534.64x = 270,226,317,337.72
  5. Step 5: Solve for x
    x = 270,226,317,337.72/596,534.64
  6. Step 6: Final answer
    x = 452,993.50

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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.