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Finding the Fourth Proportional to 560,610.86, 773,400.29 and 342,829.05

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Solution

The fourth proportional to 560,610.86, 773,400.29 and 342,829.05 is: 472,955.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,610.86 : 773,400.29 = 342,829.05 : x
  2. Step 2: Convert to fraction form
    560,610.86/773,400.29 = 342,829.05/x
  3. Step 3: Cross multiply
    560,610.86x = 773,400.29 × 342,829.05
  4. Step 4: Simplify right side
    560,610.86x = 265,144,084,976.28
  5. Step 5: Solve for x
    x = 265,144,084,976.28/560,610.86
  6. Step 6: Final answer
    x = 472,955.67

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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.