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Finding the Fourth Proportional to 456,430.33, 629,661.76 and 295,337.33

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Solution

The fourth proportional to 456,430.33, 629,661.76 and 295,337.33 is: 407,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,430.33 : 629,661.76 = 295,337.33 : x
  2. Step 2: Convert to fraction form
    456,430.33/629,661.76 = 295,337.33/x
  3. Step 3: Cross multiply
    456,430.33x = 629,661.76 × 295,337.33
  4. Step 4: Simplify right side
    456,430.33x = 185,962,623,001.50
  5. Step 5: Solve for x
    x = 185,962,623,001.50/456,430.33
  6. Step 6: Final answer
    x = 407,428.28

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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.