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Finding the Fourth Proportional to 534,598, 737,744.98 and 319,738.06

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Solution

The fourth proportional to 534,598, 737,744.98 and 319,738.06 is: 441,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,598 : 737,744.98 = 319,738.06 : x
  2. Step 2: Convert to fraction form
    534,598/737,744.98 = 319,738.06/x
  3. Step 3: Cross multiply
    534,598x = 737,744.98 × 319,738.06
  4. Step 4: Simplify right side
    534,598x = 235,885,148,679.94
  5. Step 5: Solve for x
    x = 235,885,148,679.94/534,598
  6. Step 6: Final answer
    x = 441,238.37

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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.