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Finding the Fourth Proportional to 516,814.02, 713,203.92 and 287,368.83

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Solution

The fourth proportional to 516,814.02, 713,203.92 and 287,368.83 is: 396,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,814.02 : 713,203.92 = 287,368.83 : x
  2. Step 2: Convert to fraction form
    516,814.02/713,203.92 = 287,368.83/x
  3. Step 3: Cross multiply
    516,814.02x = 713,203.92 × 287,368.83
  4. Step 4: Simplify right side
    516,814.02x = 204,952,576,041.81
  5. Step 5: Solve for x
    x = 204,952,576,041.81/516,814.02
  6. Step 6: Final answer
    x = 396,569.30

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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.