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Finding the Fourth Proportional to 524,498.83, 723,923.01 and 333,474.91

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Solution

The fourth proportional to 524,498.83, 723,923.01 and 333,474.91 is: 460,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,498.83 : 723,923.01 = 333,474.91 : x
  2. Step 2: Convert to fraction form
    524,498.83/723,923.01 = 333,474.91/x
  3. Step 3: Cross multiply
    524,498.83x = 723,923.01 × 333,474.91
  4. Step 4: Simplify right side
    524,498.83x = 241,410,160,606.68
  5. Step 5: Solve for x
    x = 241,410,160,606.68/524,498.83
  6. Step 6: Final answer
    x = 460,268.25

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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.