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Finding the Fourth Proportional to 403,419.42, 556,793.46 and 233,653.50

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Solution

The fourth proportional to 403,419.42, 556,793.46 and 233,653.50 is: 322,485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,419.42 : 556,793.46 = 233,653.50 : x
  2. Step 2: Convert to fraction form
    403,419.42/556,793.46 = 233,653.50/x
  3. Step 3: Cross multiply
    403,419.42x = 556,793.46 × 233,653.50
  4. Step 4: Simplify right side
    403,419.42x = 130,096,740,706.11
  5. Step 5: Solve for x
    x = 130,096,740,706.11/403,419.42
  6. Step 6: Final answer
    x = 322,485.07

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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.