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Finding the Fourth Proportional to 422,710.83, 583,328.88 and 241,419.02

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Solution

The fourth proportional to 422,710.83, 583,328.88 and 241,419.02 is: 333,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,710.83 : 583,328.88 = 241,419.02 : x
  2. Step 2: Convert to fraction form
    422,710.83/583,328.88 = 241,419.02/x
  3. Step 3: Cross multiply
    422,710.83x = 583,328.88 × 241,419.02
  4. Step 4: Simplify right side
    422,710.83x = 140,826,683,630.65
  5. Step 5: Solve for x
    x = 140,826,683,630.65/422,710.83
  6. Step 6: Final answer
    x = 333,151.35

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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.