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Finding the Fourth Proportional to 708,948, 1,062,825.84 and 288,525.60

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Solution

The fourth proportional to 708,948, 1,062,825.84 and 288,525.60 is: 432,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,948 : 1,062,825.84 = 288,525.60 : x
  2. Step 2: Convert to fraction form
    708,948/1,062,825.84 = 288,525.60/x
  3. Step 3: Cross multiply
    708,948x = 1,062,825.84 × 288,525.60
  4. Step 4: Simplify right side
    708,948x = 306,652,463,181.50
  5. Step 5: Solve for x
    x = 306,652,463,181.50/708,948
  6. Step 6: Final answer
    x = 432,545.78

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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.