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Finding the Fourth Proportional to 301,223.98, 415,645.95 and 180,336.34

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Solution

The fourth proportional to 301,223.98, 415,645.95 and 180,336.34 is: 248,838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,223.98 : 415,645.95 = 180,336.34 : x
  2. Step 2: Convert to fraction form
    301,223.98/415,645.95 = 180,336.34/x
  3. Step 3: Cross multiply
    301,223.98x = 415,645.95 × 180,336.34
  4. Step 4: Simplify right side
    301,223.98x = 74,956,069,358.82
  5. Step 5: Solve for x
    x = 74,956,069,358.82/301,223.98
  6. Step 6: Final answer
    x = 248,838.32

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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.