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Finding the Fourth Proportional to 594,415.80, 890,502.69 and 460,642.14

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Solution

The fourth proportional to 594,415.80, 890,502.69 and 460,642.14 is: 690,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,415.80 : 890,502.69 = 460,642.14 : x
  2. Step 2: Convert to fraction form
    594,415.80/890,502.69 = 460,642.14/x
  3. Step 3: Cross multiply
    594,415.80x = 890,502.69 × 460,642.14
  4. Step 4: Simplify right side
    594,415.80x = 410,203,064,797.36
  5. Step 5: Solve for x
    x = 410,203,064,797.36/594,415.80
  6. Step 6: Final answer
    x = 690,094.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.