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Finding the Fourth Proportional to 458,022.80, 632,075.26 and 254,087.08

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Solution

The fourth proportional to 458,022.80, 632,075.26 and 254,087.08 is: 350,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,022.80 : 632,075.26 = 254,087.08 : x
  2. Step 2: Convert to fraction form
    458,022.80/632,075.26 = 254,087.08/x
  3. Step 3: Cross multiply
    458,022.80x = 632,075.26 × 254,087.08
  4. Step 4: Simplify right side
    458,022.80x = 160,602,157,153.64
  5. Step 5: Solve for x
    x = 160,602,157,153.64/458,022.80
  6. Step 6: Final answer
    x = 350,642.28

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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.