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Finding the Fourth Proportional to 582,290.32, 873,613.74 and 298,182.02

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Solution

The fourth proportional to 582,290.32, 873,613.74 and 298,182.02 is: 447,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,290.32 : 873,613.74 = 298,182.02 : x
  2. Step 2: Convert to fraction form
    582,290.32/873,613.74 = 298,182.02/x
  3. Step 3: Cross multiply
    582,290.32x = 873,613.74 × 298,182.02
  4. Step 4: Simplify right side
    582,290.32x = 260,495,909,692.96
  5. Step 5: Solve for x
    x = 260,495,909,692.96/582,290.32
  6. Step 6: Final answer
    x = 447,364.31

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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.