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Finding the Fourth Proportional to 433,057.71, 597,323.12 and 282,358.83

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Solution

The fourth proportional to 433,057.71, 597,323.12 and 282,358.83 is: 389,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,057.71 : 597,323.12 = 282,358.83 : x
  2. Step 2: Convert to fraction form
    433,057.71/597,323.12 = 282,358.83/x
  3. Step 3: Cross multiply
    433,057.71x = 597,323.12 × 282,358.83
  4. Step 4: Simplify right side
    433,057.71x = 168,659,455,883.36
  5. Step 5: Solve for x
    x = 168,659,455,883.36/433,057.71
  6. Step 6: Final answer
    x = 389,461.85

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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.