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Finding the Fourth Proportional to 430,579, 646,024.02 and 135,091

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Solution

The fourth proportional to 430,579, 646,024.02 and 135,091 is: 202,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,579 : 646,024.02 = 135,091 : x
  2. Step 2: Convert to fraction form
    430,579/646,024.02 = 135,091/x
  3. Step 3: Cross multiply
    430,579x = 646,024.02 × 135,091
  4. Step 4: Simplify right side
    430,579x = 87,272,030,885.82
  5. Step 5: Solve for x
    x = 87,272,030,885.82/430,579
  6. Step 6: Final answer
    x = 202,685.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.