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Finding the Fourth Proportional to 385,707.53, 578,599.36 and 132,954.75

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Solution

The fourth proportional to 385,707.53, 578,599.36 and 132,954.75 is: 199,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,707.53 : 578,599.36 = 132,954.75 : x
  2. Step 2: Convert to fraction form
    385,707.53/578,599.36 = 132,954.75/x
  3. Step 3: Cross multiply
    385,707.53x = 578,599.36 × 132,954.75
  4. Step 4: Simplify right side
    385,707.53x = 76,927,529,701.19
  5. Step 5: Solve for x
    x = 76,927,529,701.19/385,707.53
  6. Step 6: Final answer
    x = 199,445.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.