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Finding the Fourth Proportional to 334,705.51, 461,778.14 and 213,917.50

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Solution

The fourth proportional to 334,705.51, 461,778.14 and 213,917.50 is: 295,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,705.51 : 461,778.14 = 213,917.50 : x
  2. Step 2: Convert to fraction form
    334,705.51/461,778.14 = 213,917.50/x
  3. Step 3: Cross multiply
    334,705.51x = 461,778.14 × 213,917.50
  4. Step 4: Simplify right side
    334,705.51x = 98,782,425,263.45
  5. Step 5: Solve for x
    x = 98,782,425,263.45/334,705.51
  6. Step 6: Final answer
    x = 295,132.35

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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.