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Finding the Fourth Proportional to 430,778, 646,271.64 and 135,290

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Solution

The fourth proportional to 430,778, 646,271.64 and 135,290 is: 202,967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,778 : 646,271.64 = 135,290 : x
  2. Step 2: Convert to fraction form
    430,778/646,271.64 = 135,290/x
  3. Step 3: Cross multiply
    430,778x = 646,271.64 × 135,290
  4. Step 4: Simplify right side
    430,778x = 87,434,090,175.60
  5. Step 5: Solve for x
    x = 87,434,090,175.60/430,778
  6. Step 6: Final answer
    x = 202,967.86

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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.