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Finding the Fourth Proportional to 534,471, 737,548.38 and 319,729.74

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Solution

The fourth proportional to 534,471, 737,548.38 and 319,729.74 is: 441,214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,471 : 737,548.38 = 319,729.74 : x
  2. Step 2: Convert to fraction form
    534,471/737,548.38 = 319,729.74/x
  3. Step 3: Cross multiply
    534,471x = 737,548.38 × 319,729.74
  4. Step 4: Simplify right side
    534,471x = 235,816,151,774.82
  5. Step 5: Solve for x
    x = 235,816,151,774.82/534,471
  6. Step 6: Final answer
    x = 441,214.12

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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.