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Finding the Fourth Proportional to 526,085.91, 725,998.38 and 284,368.34

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Solution

The fourth proportional to 526,085.91, 725,998.38 and 284,368.34 is: 392,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,085.91 : 725,998.38 = 284,368.34 : x
  2. Step 2: Convert to fraction form
    526,085.91/725,998.38 = 284,368.34/x
  3. Step 3: Cross multiply
    526,085.91x = 725,998.38 × 284,368.34
  4. Step 4: Simplify right side
    526,085.91x = 206,450,950,533.30
  5. Step 5: Solve for x
    x = 206,450,950,533.30/526,085.91
  6. Step 6: Final answer
    x = 392,428.21

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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.