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Finding the Fourth Proportional to 463,756.44, 639,982.46 and 257,038.01

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Solution

The fourth proportional to 463,756.44, 639,982.46 and 257,038.01 is: 354,711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,756.44 : 639,982.46 = 257,038.01 : x
  2. Step 2: Convert to fraction form
    463,756.44/639,982.46 = 257,038.01/x
  3. Step 3: Cross multiply
    463,756.44x = 639,982.46 × 257,038.01
  4. Step 4: Simplify right side
    463,756.44x = 164,499,817,953.31
  5. Step 5: Solve for x
    x = 164,499,817,953.31/463,756.44
  6. Step 6: Final answer
    x = 354,711.66

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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.