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Finding the Fourth Proportional to 458,854.02, 633,197.01 and 254,918.10

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Solution

The fourth proportional to 458,854.02, 633,197.01 and 254,918.10 is: 351,775.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,854.02 : 633,197.01 = 254,918.10 : x
  2. Step 2: Convert to fraction form
    458,854.02/633,197.01 = 254,918.10/x
  3. Step 3: Cross multiply
    458,854.02x = 633,197.01 × 254,918.10
  4. Step 4: Simplify right side
    458,854.02x = 161,413,378,714.88
  5. Step 5: Solve for x
    x = 161,413,378,714.88/458,854.02
  6. Step 6: Final answer
    x = 351,775.01

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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.