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Finding the Fourth Proportional to 432,535.35, 648,802.92 and 314,954.94

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Solution

The fourth proportional to 432,535.35, 648,802.92 and 314,954.94 is: 472,432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,535.35 : 648,802.92 = 314,954.94 : x
  2. Step 2: Convert to fraction form
    432,535.35/648,802.92 = 314,954.94/x
  3. Step 3: Cross multiply
    432,535.35x = 648,802.92 × 314,954.94
  4. Step 4: Simplify right side
    432,535.35x = 204,343,684,740.43
  5. Step 5: Solve for x
    x = 204,343,684,740.43/432,535.35
  6. Step 6: Final answer
    x = 472,432.33

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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.