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Finding the Fourth Proportional to 540,842.34, 746,297.70 and 299,092.08

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Solution

The fourth proportional to 540,842.34, 746,297.70 and 299,092.08 is: 412,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,842.34 : 746,297.70 = 299,092.08 : x
  2. Step 2: Convert to fraction form
    540,842.34/746,297.70 = 299,092.08/x
  3. Step 3: Cross multiply
    540,842.34x = 746,297.70 × 299,092.08
  4. Step 4: Simplify right side
    540,842.34x = 223,211,731,392.22
  5. Step 5: Solve for x
    x = 223,211,731,392.22/540,842.34
  6. Step 6: Final answer
    x = 412,711.27

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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.