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Finding the Fourth Proportional to 301,612.51, 416,367.14 and 174,263.50

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Solution

The fourth proportional to 301,612.51, 416,367.14 and 174,263.50 is: 240,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,612.51 : 416,367.14 = 174,263.50 : x
  2. Step 2: Convert to fraction form
    301,612.51/416,367.14 = 174,263.50/x
  3. Step 3: Cross multiply
    301,612.51x = 416,367.14 × 174,263.50
  4. Step 4: Simplify right side
    301,612.51x = 72,557,594,750.53
  5. Step 5: Solve for x
    x = 72,557,594,750.53/301,612.51
  6. Step 6: Final answer
    x = 240,565.60

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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.