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Finding the Fourth Proportional to 321,353.40, 482,030.10 and 238,409.40

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Solution

The fourth proportional to 321,353.40, 482,030.10 and 238,409.40 is: 357,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,353.40 : 482,030.10 = 238,409.40 : x
  2. Step 2: Convert to fraction form
    321,353.40/482,030.10 = 238,409.40/x
  3. Step 3: Cross multiply
    321,353.40x = 482,030.10 × 238,409.40
  4. Step 4: Simplify right side
    321,353.40x = 114,920,506,922.94
  5. Step 5: Solve for x
    x = 114,920,506,922.94/321,353.40
  6. Step 6: Final answer
    x = 357,614.10

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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.