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Finding the Fourth Proportional to 529,066.44, 729,998.10 and 314,278.92

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Solution

The fourth proportional to 529,066.44, 729,998.10 and 314,278.92 is: 433,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,066.44 : 729,998.10 = 314,278.92 : x
  2. Step 2: Convert to fraction form
    529,066.44/729,998.10 = 314,278.92/x
  3. Step 3: Cross multiply
    529,066.44x = 729,998.10 × 314,278.92
  4. Step 4: Simplify right side
    529,066.44x = 229,423,014,470.05
  5. Step 5: Solve for x
    x = 229,423,014,470.05/529,066.44
  6. Step 6: Final answer
    x = 433,637.44

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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.