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Finding the Fourth Proportional to 361,302.40, 498,627.93 and 200,207.98

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Solution

The fourth proportional to 361,302.40, 498,627.93 and 200,207.98 is: 276,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,302.40 : 498,627.93 = 200,207.98 : x
  2. Step 2: Convert to fraction form
    361,302.40/498,627.93 = 200,207.98/x
  3. Step 3: Cross multiply
    361,302.40x = 498,627.93 × 200,207.98
  4. Step 4: Simplify right side
    361,302.40x = 99,829,290,636.88
  5. Step 5: Solve for x
    x = 99,829,290,636.88/361,302.40
  6. Step 6: Final answer
    x = 276,303.98

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1.5x scale

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.