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Finding the Fourth Proportional to 461,573.16, 637,003.07 and 257,663.89

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Solution

The fourth proportional to 461,573.16, 637,003.07 and 257,663.89 is: 355,594.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,573.16 : 637,003.07 = 257,663.89 : x
  2. Step 2: Convert to fraction form
    461,573.16/637,003.07 = 257,663.89/x
  3. Step 3: Cross multiply
    461,573.16x = 637,003.07 × 257,663.89
  4. Step 4: Simplify right side
    461,573.16x = 164,132,688,958.14
  5. Step 5: Solve for x
    x = 164,132,688,958.14/461,573.16
  6. Step 6: Final answer
    x = 355,594.09

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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.