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Finding the Fourth Proportional to 301,461, 416,017.80 and 188,349.36

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Solution

The fourth proportional to 301,461, 416,017.80 and 188,349.36 is: 259,923.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,461 : 416,017.80 = 188,349.36 : x
  2. Step 2: Convert to fraction form
    301,461/416,017.80 = 188,349.36/x
  3. Step 3: Cross multiply
    301,461x = 416,017.80 × 188,349.36
  4. Step 4: Simplify right side
    301,461x = 78,356,686,378.61
  5. Step 5: Solve for x
    x = 78,356,686,378.61/301,461
  6. Step 6: Final answer
    x = 259,923.13

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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.