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Finding the Fourth Proportional to 459,854.01, 694,100.54 and 459,854.01

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Solution

The fourth proportional to 459,854.01, 694,100.54 and 459,854.01 is: 694,100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,854.01 : 694,100.54 = 459,854.01 : x
  2. Step 2: Convert to fraction form
    459,854.01/694,100.54 = 459,854.01/x
  3. Step 3: Cross multiply
    459,854.01x = 694,100.54 × 459,854.01
  4. Step 4: Simplify right side
    459,854.01x = 319,184,914,362.90
  5. Step 5: Solve for x
    x = 319,184,914,362.90/459,854.01
  6. Step 6: Final answer
    x = 694,100.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.