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Finding the Fourth Proportional to 432,084.60, 648,126.90 and 116,541.45

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Solution

The fourth proportional to 432,084.60, 648,126.90 and 116,541.45 is: 174,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,084.60 : 648,126.90 = 116,541.45 : x
  2. Step 2: Convert to fraction form
    432,084.60/648,126.90 = 116,541.45/x
  3. Step 3: Cross multiply
    432,084.60x = 648,126.90 × 116,541.45
  4. Step 4: Simplify right side
    432,084.60x = 75,533,648,710.01
  5. Step 5: Solve for x
    x = 75,533,648,710.01/432,084.60
  6. Step 6: Final answer
    x = 174,812.18

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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.