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Finding the Fourth Proportional to 357,782.76, 493,361.94 and 300,382.53

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Solution

The fourth proportional to 357,782.76, 493,361.94 and 300,382.53 is: 414,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,782.76 : 493,361.94 = 300,382.53 : x
  2. Step 2: Convert to fraction form
    357,782.76/493,361.94 = 300,382.53/x
  3. Step 3: Cross multiply
    357,782.76x = 493,361.94 × 300,382.53
  4. Step 4: Simplify right side
    357,782.76x = 148,197,307,742.91
  5. Step 5: Solve for x
    x = 148,197,307,742.91/357,782.76
  6. Step 6: Final answer
    x = 414,210.31

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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.