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Finding the Fourth Proportional to 514,353.92, 709,783.74 and 284,895.72

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Solution

The fourth proportional to 514,353.92, 709,783.74 and 284,895.72 is: 393,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,353.92 : 709,783.74 = 284,895.72 : x
  2. Step 2: Convert to fraction form
    514,353.92/709,783.74 = 284,895.72/x
  3. Step 3: Cross multiply
    514,353.92x = 709,783.74 × 284,895.72
  4. Step 4: Simplify right side
    514,353.92x = 202,214,349,651.59
  5. Step 5: Solve for x
    x = 202,214,349,651.59/514,353.92
  6. Step 6: Final answer
    x = 393,142.43

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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.