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Finding the Fourth Proportional to 334,315.25, 461,355 and 189,117.93

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Solution

The fourth proportional to 334,315.25, 461,355 and 189,117.93 is: 260,982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,315.25 : 461,355 = 189,117.93 : x
  2. Step 2: Convert to fraction form
    334,315.25/461,355 = 189,117.93/x
  3. Step 3: Cross multiply
    334,315.25x = 461,355 × 189,117.93
  4. Step 4: Simplify right side
    334,315.25x = 87,250,502,595.15
  5. Step 5: Solve for x
    x = 87,250,502,595.15/334,315.25
  6. Step 6: Final answer
    x = 260,982.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.