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Finding the Fourth Proportional to 556,556.70, 768,048.48 and 314,834.10

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Solution

The fourth proportional to 556,556.70, 768,048.48 and 314,834.10 is: 434,471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,556.70 : 768,048.48 = 314,834.10 : x
  2. Step 2: Convert to fraction form
    556,556.70/768,048.48 = 314,834.10/x
  3. Step 3: Cross multiply
    556,556.70x = 768,048.48 × 314,834.10
  4. Step 4: Simplify right side
    556,556.70x = 241,807,851,957.17
  5. Step 5: Solve for x
    x = 241,807,851,957.17/556,556.70
  6. Step 6: Final answer
    x = 434,471.19

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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.