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Finding the Fourth Proportional to 601,544.97, 830,053.32 and 359,739.32

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Solution

The fourth proportional to 601,544.97, 830,053.32 and 359,739.32 is: 496,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,544.97 : 830,053.32 = 359,739.32 : x
  2. Step 2: Convert to fraction form
    601,544.97/830,053.32 = 359,739.32/x
  3. Step 3: Cross multiply
    601,544.97x = 830,053.32 × 359,739.32
  4. Step 4: Simplify right side
    601,544.97x = 298,602,812,750.28
  5. Step 5: Solve for x
    x = 298,602,812,750.28/601,544.97
  6. Step 6: Final answer
    x = 496,393.17

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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.