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Finding the Fourth Proportional to 416,896, 575,316.48 and 238,048

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Solution

The fourth proportional to 416,896, 575,316.48 and 238,048 is: 328,506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,896 : 575,316.48 = 238,048 : x
  2. Step 2: Convert to fraction form
    416,896/575,316.48 = 238,048/x
  3. Step 3: Cross multiply
    416,896x = 575,316.48 × 238,048
  4. Step 4: Simplify right side
    416,896x = 136,952,937,431.04
  5. Step 5: Solve for x
    x = 136,952,937,431.04/416,896
  6. Step 6: Final answer
    x = 328,506.24

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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.