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Finding the Fourth Proportional to 432,051.60, 648,077.40 and 254,904.60

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Solution

The fourth proportional to 432,051.60, 648,077.40 and 254,904.60 is: 382,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,051.60 : 648,077.40 = 254,904.60 : x
  2. Step 2: Convert to fraction form
    432,051.60/648,077.40 = 254,904.60/x
  3. Step 3: Cross multiply
    432,051.60x = 648,077.40 × 254,904.60
  4. Step 4: Simplify right side
    432,051.60x = 165,197,910,416.04
  5. Step 5: Solve for x
    x = 165,197,910,416.04/432,051.60
  6. Step 6: Final answer
    x = 382,356.90

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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.