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Finding the Fourth Proportional to 432,430.48, 648,662.78 and 162,531.39

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Solution

The fourth proportional to 432,430.48, 648,662.78 and 162,531.39 is: 243,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,430.48 : 648,662.78 = 162,531.39 : x
  2. Step 2: Convert to fraction form
    432,430.48/648,662.78 = 162,531.39/x
  3. Step 3: Cross multiply
    432,430.48x = 648,662.78 × 162,531.39
  4. Step 4: Simplify right side
    432,430.48x = 105,428,066,113.48
  5. Step 5: Solve for x
    x = 105,428,066,113.48/432,430.48
  6. Step 6: Final answer
    x = 243,803.50

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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.