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Finding the Fourth Proportional to 708,096.78, 977,161.14 and 385,809.18

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Solution

The fourth proportional to 708,096.78, 977,161.14 and 385,809.18 is: 532,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,096.78 : 977,161.14 = 385,809.18 : x
  2. Step 2: Convert to fraction form
    708,096.78/977,161.14 = 385,809.18/x
  3. Step 3: Cross multiply
    708,096.78x = 977,161.14 × 385,809.18
  4. Step 4: Simplify right side
    708,096.78x = 376,997,738,151.27
  5. Step 5: Solve for x
    x = 376,997,738,151.27/708,096.78
  6. Step 6: Final answer
    x = 532,409.90

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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.