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Finding the Fourth Proportional to 588,010.95, 882,460.31 and 430,647.39

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Solution

The fourth proportional to 588,010.95, 882,460.31 and 430,647.39 is: 646,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,010.95 : 882,460.31 = 430,647.39 : x
  2. Step 2: Convert to fraction form
    588,010.95/882,460.31 = 430,647.39/x
  3. Step 3: Cross multiply
    588,010.95x = 882,460.31 × 430,647.39
  4. Step 4: Simplify right side
    588,010.95x = 380,029,227,126.85
  5. Step 5: Solve for x
    x = 380,029,227,126.85/588,010.95
  6. Step 6: Final answer
    x = 646,296.17

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Why These Related Problems?

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