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Finding the Fourth Proportional to 286,203.10, 429,304.65 and 202,222.30

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Solution

The fourth proportional to 286,203.10, 429,304.65 and 202,222.30 is: 303,333.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,203.10 : 429,304.65 = 202,222.30 : x
  2. Step 2: Convert to fraction form
    286,203.10/429,304.65 = 202,222.30/x
  3. Step 3: Cross multiply
    286,203.10x = 429,304.65 × 202,222.30
  4. Step 4: Simplify right side
    286,203.10x = 86,814,973,723.70
  5. Step 5: Solve for x
    x = 86,814,973,723.70/286,203.10
  6. Step 6: Final answer
    x = 303,333.45

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1.5x scale

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.