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Finding the Fourth Proportional to 430,967.34, 646,001.64 and 241,149.42

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Solution

The fourth proportional to 430,967.34, 646,001.64 and 241,149.42 is: 361,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,967.34 : 646,001.64 = 241,149.42 : x
  2. Step 2: Convert to fraction form
    430,967.34/646,001.64 = 241,149.42/x
  3. Step 3: Cross multiply
    430,967.34x = 646,001.64 × 241,149.42
  4. Step 4: Simplify right side
    430,967.34x = 155,782,920,805.05
  5. Step 5: Solve for x
    x = 155,782,920,805.05/430,967.34
  6. Step 6: Final answer
    x = 361,472.68

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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.