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Finding the Fourth Proportional to 461,773.59, 637,241.33 and 257,827.65

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Solution

The fourth proportional to 461,773.59, 637,241.33 and 257,827.65 is: 355,798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,773.59 : 637,241.33 = 257,827.65 : x
  2. Step 2: Convert to fraction form
    461,773.59/637,241.33 = 257,827.65/x
  3. Step 3: Cross multiply
    461,773.59x = 637,241.33 × 257,827.65
  4. Step 4: Simplify right side
    461,773.59x = 164,298,433,307.64
  5. Step 5: Solve for x
    x = 164,298,433,307.64/461,773.59
  6. Step 6: Final answer
    x = 355,798.68

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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.