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Finding the Fourth Proportional to 432,493.60, 648,643.20 and 283,777.60

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Solution

The fourth proportional to 432,493.60, 648,643.20 and 283,777.60 is: 425,602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,493.60 : 648,643.20 = 283,777.60 : x
  2. Step 2: Convert to fraction form
    432,493.60/648,643.20 = 283,777.60/x
  3. Step 3: Cross multiply
    432,493.60x = 648,643.20 × 283,777.60
  4. Step 4: Simplify right side
    432,493.60x = 184,070,410,552.32
  5. Step 5: Solve for x
    x = 184,070,410,552.32/432,493.60
  6. Step 6: Final answer
    x = 425,602.62

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1.5x scale

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.