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Finding the Fourth Proportional to 332,114.90, 498,237.15 and 142,574.90

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Solution

The fourth proportional to 332,114.90, 498,237.15 and 142,574.90 is: 213,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,114.90 : 498,237.15 = 142,574.90 : x
  2. Step 2: Convert to fraction form
    332,114.90/498,237.15 = 142,574.90/x
  3. Step 3: Cross multiply
    332,114.90x = 498,237.15 × 142,574.90
  4. Step 4: Simplify right side
    332,114.90x = 71,036,111,837.54
  5. Step 5: Solve for x
    x = 71,036,111,837.54/332,114.90
  6. Step 6: Final answer
    x = 213,890.17

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1.5x scale

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.