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Finding the Fourth Proportional to 390,053.40, 585,099.30 and 203,429.40

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Solution

The fourth proportional to 390,053.40, 585,099.30 and 203,429.40 is: 305,154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,053.40 : 585,099.30 = 203,429.40 : x
  2. Step 2: Convert to fraction form
    390,053.40/585,099.30 = 203,429.40/x
  3. Step 3: Cross multiply
    390,053.40x = 585,099.30 × 203,429.40
  4. Step 4: Simplify right side
    390,053.40x = 119,026,399,539.42
  5. Step 5: Solve for x
    x = 119,026,399,539.42/390,053.40
  6. Step 6: Final answer
    x = 305,154.11

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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.