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Finding the Fourth Proportional to 462,800.70, 638,476.55 and 301,597.02

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Solution

The fourth proportional to 462,800.70, 638,476.55 and 301,597.02 is: 416,081.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,800.70 : 638,476.55 = 301,597.02 : x
  2. Step 2: Convert to fraction form
    462,800.70/638,476.55 = 301,597.02/x
  3. Step 3: Cross multiply
    462,800.70x = 638,476.55 × 301,597.02
  4. Step 4: Simplify right side
    462,800.70x = 192,562,628,533.66
  5. Step 5: Solve for x
    x = 192,562,628,533.66/462,800.70
  6. Step 6: Final answer
    x = 416,081.11

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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.