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Finding the Fourth Proportional to 601,577.69, 830,098.19 and 359,772.03

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Solution

The fourth proportional to 601,577.69, 830,098.19 and 359,772.03 is: 496,438.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,577.69 : 830,098.19 = 359,772.03 : x
  2. Step 2: Convert to fraction form
    601,577.69/830,098.19 = 359,772.03/x
  3. Step 3: Cross multiply
    601,577.69x = 830,098.19 × 359,772.03
  4. Step 4: Simplify right side
    601,577.69x = 298,646,111,815.06
  5. Step 5: Solve for x
    x = 298,646,111,815.06/601,577.69
  6. Step 6: Final answer
    x = 496,438.15

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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.