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Finding the Fourth Proportional to 312,051.31, 430,629.33 and 168,810.10

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Solution

The fourth proportional to 312,051.31, 430,629.33 and 168,810.10 is: 232,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,051.31 : 430,629.33 = 168,810.10 : x
  2. Step 2: Convert to fraction form
    312,051.31/430,629.33 = 168,810.10/x
  3. Step 3: Cross multiply
    312,051.31x = 430,629.33 × 168,810.10
  4. Step 4: Simplify right side
    312,051.31x = 72,694,580,260.23
  5. Step 5: Solve for x
    x = 72,694,580,260.23/312,051.31
  6. Step 6: Final answer
    x = 232,957.14

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1.5x scale

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.