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Finding the Fourth Proportional to 536,471, 740,343.30 and 294,769.22

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Solution

The fourth proportional to 536,471, 740,343.30 and 294,769.22 is: 406,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,471 : 740,343.30 = 294,769.22 : x
  2. Step 2: Convert to fraction form
    536,471/740,343.30 = 294,769.22/x
  3. Step 3: Cross multiply
    536,471x = 740,343.30 × 294,769.22
  4. Step 4: Simplify right side
    536,471x = 218,230,417,073.23
  5. Step 5: Solve for x
    x = 218,230,417,073.23/536,471
  6. Step 6: Final answer
    x = 406,788.84

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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.