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Finding the Fourth Proportional to 434,683.84, 651,970.32 and 168,262.06

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Solution

The fourth proportional to 434,683.84, 651,970.32 and 168,262.06 is: 252,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,683.84 : 651,970.32 = 168,262.06 : x
  2. Step 2: Convert to fraction form
    434,683.84/651,970.32 = 168,262.06/x
  3. Step 3: Cross multiply
    434,683.84x = 651,970.32 × 168,262.06
  4. Step 4: Simplify right side
    434,683.84x = 109,701,869,102.06
  5. Step 5: Solve for x
    x = 109,701,869,102.06/434,683.84
  6. Step 6: Final answer
    x = 252,371.63

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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.