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Finding the Fourth Proportional to 601,643.40, 830,048.22 and 359,932.92

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Solution

The fourth proportional to 601,643.40, 830,048.22 and 359,932.92 is: 496,576.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,643.40 : 830,048.22 = 359,932.92 : x
  2. Step 2: Convert to fraction form
    601,643.40/830,048.22 = 359,932.92/x
  3. Step 3: Cross multiply
    601,643.40x = 830,048.22 × 359,932.92
  4. Step 4: Simplify right side
    601,643.40x = 298,761,679,565.40
  5. Step 5: Solve for x
    x = 298,761,679,565.40/601,643.40
  6. Step 6: Final answer
    x = 496,576.01

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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.