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Finding the Fourth Proportional to 651,830.40, 977,162.40 and 252,338.40

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Solution

The fourth proportional to 651,830.40, 977,162.40 and 252,338.40 is: 378,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,830.40 : 977,162.40 = 252,338.40 : x
  2. Step 2: Convert to fraction form
    651,830.40/977,162.40 = 252,338.40/x
  3. Step 3: Cross multiply
    651,830.40x = 977,162.40 × 252,338.40
  4. Step 4: Simplify right side
    651,830.40x = 246,575,596,556.16
  5. Step 5: Solve for x
    x = 246,575,596,556.16/651,830.40
  6. Step 6: Final answer
    x = 378,281.83

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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.