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Finding the Fourth Proportional to 602,198.24, 828,947.40 and 520,488.95

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Solution

The fourth proportional to 602,198.24, 828,947.40 and 520,488.95 is: 716,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,198.24 : 828,947.40 = 520,488.95 : x
  2. Step 2: Convert to fraction form
    602,198.24/828,947.40 = 520,488.95/x
  3. Step 3: Cross multiply
    602,198.24x = 828,947.40 × 520,488.95
  4. Step 4: Simplify right side
    602,198.24x = 431,457,961,831.23
  5. Step 5: Solve for x
    x = 431,457,961,831.23/602,198.24
  6. Step 6: Final answer
    x = 716,471.64

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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.