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Finding the Fourth Proportional to 456,809.16, 685,314.45 and 136,948.26

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Solution

The fourth proportional to 456,809.16, 685,314.45 and 136,948.26 is: 205,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,809.16 : 685,314.45 = 136,948.26 : x
  2. Step 2: Convert to fraction form
    456,809.16/685,314.45 = 136,948.26/x
  3. Step 3: Cross multiply
    456,809.16x = 685,314.45 × 136,948.26
  4. Step 4: Simplify right side
    456,809.16x = 93,852,621,480.36
  5. Step 5: Solve for x
    x = 93,852,621,480.36/456,809.16
  6. Step 6: Final answer
    x = 205,452.58

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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.