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Finding the Fourth Proportional to 458,494.32, 632,594.15 and 286,587.26

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Solution

The fourth proportional to 458,494.32, 632,594.15 and 286,587.26 is: 395,410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,494.32 : 632,594.15 = 286,587.26 : x
  2. Step 2: Convert to fraction form
    458,494.32/632,594.15 = 286,587.26/x
  3. Step 3: Cross multiply
    458,494.32x = 632,594.15 × 286,587.26
  4. Step 4: Simplify right side
    458,494.32x = 181,293,428,161.95
  5. Step 5: Solve for x
    x = 181,293,428,161.95/458,494.32
  6. Step 6: Final answer
    x = 395,410.41

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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.