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Finding the Fourth Proportional to 320,197.71, 441,860.51 and 184,275.32

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Solution

The fourth proportional to 320,197.71, 441,860.51 and 184,275.32 is: 254,292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,197.71 : 441,860.51 = 184,275.32 : x
  2. Step 2: Convert to fraction form
    320,197.71/441,860.51 = 184,275.32/x
  3. Step 3: Cross multiply
    320,197.71x = 441,860.51 × 184,275.32
  4. Step 4: Simplify right side
    320,197.71x = 81,423,984,666.31
  5. Step 5: Solve for x
    x = 81,423,984,666.31/320,197.71
  6. Step 6: Final answer
    x = 254,292.84

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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.