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Finding the Fourth Proportional to 598,613.09, 897,897.76 and 177,878.03

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Solution

The fourth proportional to 598,613.09, 897,897.76 and 177,878.03 is: 266,810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,613.09 : 897,897.76 = 177,878.03 : x
  2. Step 2: Convert to fraction form
    598,613.09/897,897.76 = 177,878.03/x
  3. Step 3: Cross multiply
    598,613.09x = 897,897.76 × 177,878.03
  4. Step 4: Simplify right side
    598,613.09x = 159,716,279,756.03
  5. Step 5: Solve for x
    x = 159,716,279,756.03/598,613.09
  6. Step 6: Final answer
    x = 266,810.54

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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.