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Finding the Fourth Proportional to 689,502.42, 950,844.69 and 460,069.02

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Solution

The fourth proportional to 689,502.42, 950,844.69 and 460,069.02 is: 634,449.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,502.42 : 950,844.69 = 460,069.02 : x
  2. Step 2: Convert to fraction form
    689,502.42/950,844.69 = 460,069.02/x
  3. Step 3: Cross multiply
    689,502.42x = 950,844.69 × 460,069.02
  4. Step 4: Simplify right side
    689,502.42x = 437,454,184,700.50
  5. Step 5: Solve for x
    x = 437,454,184,700.50/689,502.42
  6. Step 6: Final answer
    x = 634,449.09

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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.