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Finding the Fourth Proportional to 489,186.30, 733,779.45 and 209,250.30

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Solution

The fourth proportional to 489,186.30, 733,779.45 and 209,250.30 is: 313,875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,186.30 : 733,779.45 = 209,250.30 : x
  2. Step 2: Convert to fraction form
    489,186.30/733,779.45 = 209,250.30/x
  3. Step 3: Cross multiply
    489,186.30x = 733,779.45 × 209,250.30
  4. Step 4: Simplify right side
    489,186.30x = 153,543,570,046.34
  5. Step 5: Solve for x
    x = 153,543,570,046.34/489,186.30
  6. Step 6: Final answer
    x = 313,875.45

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Similar ratio
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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.