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Finding the Fourth Proportional to 514,171.53, 709,538.40 and 284,715.27

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Solution

The fourth proportional to 514,171.53, 709,538.40 and 284,715.27 is: 392,896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,171.53 : 709,538.40 = 284,715.27 : x
  2. Step 2: Convert to fraction form
    514,171.53/709,538.40 = 284,715.27/x
  3. Step 3: Cross multiply
    514,171.53x = 709,538.40 × 284,715.27
  4. Step 4: Simplify right side
    514,171.53x = 202,016,417,131.37
  5. Step 5: Solve for x
    x = 202,016,417,131.37/514,171.53
  6. Step 6: Final answer
    x = 392,896.93

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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.