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Finding the Fourth Proportional to 983,583, 1,474,389.54 and 383,718.87

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Solution

The fourth proportional to 983,583, 1,474,389.54 and 383,718.87 is: 575,194.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,583 : 1,474,389.54 = 383,718.87 : x
  2. Step 2: Convert to fraction form
    983,583/1,474,389.54 = 383,718.87/x
  3. Step 3: Cross multiply
    983,583x = 1,474,389.54 × 383,718.87
  4. Step 4: Simplify right side
    983,583x = 565,751,088,228.62
  5. Step 5: Solve for x
    x = 565,751,088,228.62/983,583
  6. Step 6: Final answer
    x = 575,194.05

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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.