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Finding the Fourth Proportional to 432,389.86, 648,619.35 and 151,970.02

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Solution

The fourth proportional to 432,389.86, 648,619.35 and 151,970.02 is: 227,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,389.86 : 648,619.35 = 151,970.02 : x
  2. Step 2: Convert to fraction form
    432,389.86/648,619.35 = 151,970.02/x
  3. Step 3: Cross multiply
    432,389.86x = 648,619.35 × 151,970.02
  4. Step 4: Simplify right side
    432,389.86x = 98,570,695,591.89
  5. Step 5: Solve for x
    x = 98,570,695,591.89/432,389.86
  6. Step 6: Final answer
    x = 227,967.18

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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.