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Finding the Fourth Proportional to 416,955.02, 575,397.96 and 225,968.36

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Solution

The fourth proportional to 416,955.02, 575,397.96 and 225,968.36 is: 311,836.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,955.02 : 575,397.96 = 225,968.36 : x
  2. Step 2: Convert to fraction form
    416,955.02/575,397.96 = 225,968.36/x
  3. Step 3: Cross multiply
    416,955.02x = 575,397.96 × 225,968.36
  4. Step 4: Simplify right side
    416,955.02x = 130,021,733,368.55
  5. Step 5: Solve for x
    x = 130,021,733,368.55/416,955.02
  6. Step 6: Final answer
    x = 311,836.35

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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.