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Finding the Fourth Proportional to 364,686.10, 502,798.99 and 299,033.03

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Solution

The fourth proportional to 364,686.10, 502,798.99 and 299,033.03 is: 412,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,686.10 : 502,798.99 = 299,033.03 : x
  2. Step 2: Convert to fraction form
    364,686.10/502,798.99 = 299,033.03/x
  3. Step 3: Cross multiply
    364,686.10x = 502,798.99 × 299,033.03
  4. Step 4: Simplify right side
    364,686.10x = 150,353,505,460.64
  5. Step 5: Solve for x
    x = 150,353,505,460.64/364,686.10
  6. Step 6: Final answer
    x = 412,281.97

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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.