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Finding the Fourth Proportional to 462,112.96, 637,644 and 260,904.64

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Solution

The fourth proportional to 462,112.96, 637,644 and 260,904.64 is: 360,007.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,112.96 : 637,644 = 260,904.64 : x
  2. Step 2: Convert to fraction form
    462,112.96/637,644 = 260,904.64/x
  3. Step 3: Cross multiply
    462,112.96x = 637,644 × 260,904.64
  4. Step 4: Simplify right side
    462,112.96x = 166,364,278,268.16
  5. Step 5: Solve for x
    x = 166,364,278,268.16/462,112.96
  6. Step 6: Final answer
    x = 360,007.82

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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.