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Finding the Fourth Proportional to 601,490.33, 830,056.38 and 359,829.66

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Solution

The fourth proportional to 601,490.33, 830,056.38 and 359,829.66 is: 496,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,490.33 : 830,056.38 = 359,829.66 : x
  2. Step 2: Convert to fraction form
    601,490.33/830,056.38 = 359,829.66/x
  3. Step 3: Cross multiply
    601,490.33x = 830,056.38 × 359,829.66
  4. Step 4: Simplify right side
    601,490.33x = 298,678,904,996.23
  5. Step 5: Solve for x
    x = 298,678,904,996.23/601,490.33
  6. Step 6: Final answer
    x = 496,564.77

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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.