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Finding the Fourth Proportional to 432,391.86, 648,622.35 and 151,972.02

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Solution

The fourth proportional to 432,391.86, 648,622.35 and 151,972.02 is: 227,970.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,391.86 : 648,622.35 = 151,972.02 : x
  2. Step 2: Convert to fraction form
    432,391.86/648,622.35 = 151,972.02/x
  3. Step 3: Cross multiply
    432,391.86x = 648,622.35 × 151,972.02
  4. Step 4: Simplify right side
    432,391.86x = 98,572,448,746.65
  5. Step 5: Solve for x
    x = 98,572,448,746.65/432,391.86
  6. Step 6: Final answer
    x = 227,970.18

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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.