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Finding the Fourth Proportional to 434,083.34, 651,347.30 and 206,636.36

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Solution

The fourth proportional to 434,083.34, 651,347.30 and 206,636.36 is: 310,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,083.34 : 651,347.30 = 206,636.36 : x
  2. Step 2: Convert to fraction form
    434,083.34/651,347.30 = 206,636.36/x
  3. Step 3: Cross multiply
    434,083.34x = 651,347.30 × 206,636.36
  4. Step 4: Simplify right side
    434,083.34x = 134,592,035,167.83
  5. Step 5: Solve for x
    x = 134,592,035,167.83/434,083.34
  6. Step 6: Final answer
    x = 310,060.36

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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.