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Finding the Fourth Proportional to 434,825.40, 652,238.10 and 417,329.40

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Solution

The fourth proportional to 434,825.40, 652,238.10 and 417,329.40 is: 625,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,825.40 : 652,238.10 = 417,329.40 : x
  2. Step 2: Convert to fraction form
    434,825.40/652,238.10 = 417,329.40/x
  3. Step 3: Cross multiply
    434,825.40x = 652,238.10 × 417,329.40
  4. Step 4: Simplify right side
    434,825.40x = 272,198,134,930.14
  5. Step 5: Solve for x
    x = 272,198,134,930.14/434,825.40
  6. Step 6: Final answer
    x = 625,994.10

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