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Finding the Fourth Proportional to 514,073.63, 709,443.77 and 284,630.92

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Solution

The fourth proportional to 514,073.63, 709,443.77 and 284,630.92 is: 392,802.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,073.63 : 709,443.77 = 284,630.92 : x
  2. Step 2: Convert to fraction form
    514,073.63/709,443.77 = 284,630.92/x
  3. Step 3: Cross multiply
    514,073.63x = 709,443.77 × 284,630.92
  4. Step 4: Simplify right side
    514,073.63x = 201,929,632,943.37
  5. Step 5: Solve for x
    x = 201,929,632,943.37/514,073.63
  6. Step 6: Final answer
    x = 392,802.94

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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.