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Finding the Fourth Proportional to 416,993, 575,447.10 and 226,001.48

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Solution

The fourth proportional to 416,993, 575,447.10 and 226,001.48 is: 311,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,993 : 575,447.10 = 226,001.48 : x
  2. Step 2: Convert to fraction form
    416,993/575,447.10 = 226,001.48/x
  3. Step 3: Cross multiply
    416,993x = 575,447.10 × 226,001.48
  4. Step 4: Simplify right side
    416,993x = 130,051,896,261.71
  5. Step 5: Solve for x
    x = 130,051,896,261.71/416,993
  6. Step 6: Final answer
    x = 311,880.29

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1.5x scale

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.