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Finding the Fourth Proportional to 601,169.31, 830,175.62 and 386,681.72

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Solution

The fourth proportional to 601,169.31, 830,175.62 and 386,681.72 is: 533,982.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,169.31 : 830,175.62 = 386,681.72 : x
  2. Step 2: Convert to fraction form
    601,169.31/830,175.62 = 386,681.72/x
  3. Step 3: Cross multiply
    601,169.31x = 830,175.62 × 386,681.72
  4. Step 4: Simplify right side
    601,169.31x = 321,013,730,559.38
  5. Step 5: Solve for x
    x = 321,013,730,559.38/601,169.31
  6. Step 6: Final answer
    x = 533,982.23

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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.