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Finding the Fourth Proportional to 540,732.92, 746,216.27 and 299,031.76

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Solution

The fourth proportional to 540,732.92, 746,216.27 and 299,031.76 is: 412,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,732.92 : 746,216.27 = 299,031.76 : x
  2. Step 2: Convert to fraction form
    540,732.92/746,216.27 = 299,031.76/x
  3. Step 3: Cross multiply
    540,732.92x = 746,216.27 × 299,031.76
  4. Step 4: Simplify right side
    540,732.92x = 223,142,364,558.74
  5. Step 5: Solve for x
    x = 223,142,364,558.74/540,732.92
  6. Step 6: Final answer
    x = 412,666.51

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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.