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Finding the Fourth Proportional to 320,599.84, 442,461 and 184,638.64

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Solution

The fourth proportional to 320,599.84, 442,461 and 184,638.64 is: 254,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,599.84 : 442,461 = 184,638.64 : x
  2. Step 2: Convert to fraction form
    320,599.84/442,461 = 184,638.64/x
  3. Step 3: Cross multiply
    320,599.84x = 442,461 × 184,638.64
  4. Step 4: Simplify right side
    320,599.84x = 81,695,397,293.04
  5. Step 5: Solve for x
    x = 81,695,397,293.04/320,599.84
  6. Step 6: Final answer
    x = 254,820.46

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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.