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Finding the Fourth Proportional to 590,231, 885,349.74 and 146,999

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Solution

The fourth proportional to 590,231, 885,349.74 and 146,999 is: 220,499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,231 : 885,349.74 = 146,999 : x
  2. Step 2: Convert to fraction form
    590,231/885,349.74 = 146,999/x
  3. Step 3: Cross multiply
    590,231x = 885,349.74 × 146,999
  4. Step 4: Simplify right side
    590,231x = 130,145,526,430.26
  5. Step 5: Solve for x
    x = 130,145,526,430.26/590,231
  6. Step 6: Final answer
    x = 220,499.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.