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Finding the Fourth Proportional to 320,598.84, 442,459.62 and 184,637.64

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Solution

The fourth proportional to 320,598.84, 442,459.62 and 184,637.64 is: 254,819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,598.84 : 442,459.62 = 184,637.64 : x
  2. Step 2: Convert to fraction form
    320,598.84/442,459.62 = 184,637.64/x
  3. Step 3: Cross multiply
    320,598.84x = 442,459.62 × 184,637.64
  4. Step 4: Simplify right side
    320,598.84x = 81,694,700,032.10
  5. Step 5: Solve for x
    x = 81,694,700,032.10/320,598.84
  6. Step 6: Final answer
    x = 254,819.08

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1.5x scale

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.