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Finding the Fourth Proportional to 430,969.34, 646,004.64 and 241,151.42

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Solution

The fourth proportional to 430,969.34, 646,004.64 and 241,151.42 is: 361,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,969.34 : 646,004.64 = 241,151.42 : x
  2. Step 2: Convert to fraction form
    430,969.34/646,004.64 = 241,151.42/x
  3. Step 3: Cross multiply
    430,969.34x = 646,004.64 × 241,151.42
  4. Step 4: Simplify right side
    430,969.34x = 155,784,936,262.59
  5. Step 5: Solve for x
    x = 155,784,936,262.59/430,969.34
  6. Step 6: Final answer
    x = 361,475.68

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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.