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Finding the Fourth Proportional to 538,770.92, 743,984.46 and 513,248.63

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Solution

The fourth proportional to 538,770.92, 743,984.46 and 513,248.63 is: 708,740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,770.92 : 743,984.46 = 513,248.63 : x
  2. Step 2: Convert to fraction form
    538,770.92/743,984.46 = 513,248.63/x
  3. Step 3: Cross multiply
    538,770.92x = 743,984.46 × 513,248.63
  4. Step 4: Simplify right side
    538,770.92x = 381,849,001,116.37
  5. Step 5: Solve for x
    x = 381,849,001,116.37/538,770.92
  6. Step 6: Final answer
    x = 708,740.93

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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.