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Finding the Fourth Proportional to 434,994.64, 599,657.16 and 307,445.20

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Solution

The fourth proportional to 434,994.64, 599,657.16 and 307,445.20 is: 423,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,994.64 : 599,657.16 = 307,445.20 : x
  2. Step 2: Convert to fraction form
    434,994.64/599,657.16 = 307,445.20/x
  3. Step 3: Cross multiply
    434,994.64x = 599,657.16 × 307,445.20
  4. Step 4: Simplify right side
    434,994.64x = 184,361,715,487.63
  5. Step 5: Solve for x
    x = 184,361,715,487.63/434,994.64
  6. Step 6: Final answer
    x = 423,825.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.