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Finding the Fourth Proportional to 461,775.73, 637,244.25 and 257,829.76

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Solution

The fourth proportional to 461,775.73, 637,244.25 and 257,829.76 is: 355,801.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,775.73 : 637,244.25 = 257,829.76 : x
  2. Step 2: Convert to fraction form
    461,775.73/637,244.25 = 257,829.76/x
  3. Step 3: Cross multiply
    461,775.73x = 637,244.25 × 257,829.76
  4. Step 4: Simplify right side
    461,775.73x = 164,300,532,038.88
  5. Step 5: Solve for x
    x = 164,300,532,038.88/461,775.73
  6. Step 6: Final answer
    x = 355,801.58

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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.