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Finding the Fourth Proportional to 461,625.68, 637,041.72 and 257,674.82

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Solution

The fourth proportional to 461,625.68, 637,041.72 and 257,674.82 is: 355,590.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,625.68 : 637,041.72 = 257,674.82 : x
  2. Step 2: Convert to fraction form
    461,625.68/637,041.72 = 257,674.82/x
  3. Step 3: Cross multiply
    461,625.68x = 637,041.72 × 257,674.82
  4. Step 4: Simplify right side
    461,625.68x = 164,149,610,533.49
  5. Step 5: Solve for x
    x = 164,149,610,533.49/461,625.68
  6. Step 6: Final answer
    x = 355,590.29

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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.