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Finding the Fourth Proportional to 713,269.23, 1,070,067.90 and 233,512.53

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Solution

The fourth proportional to 713,269.23, 1,070,067.90 and 233,512.53 is: 350,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,269.23 : 1,070,067.90 = 233,512.53 : x
  2. Step 2: Convert to fraction form
    713,269.23/1,070,067.90 = 233,512.53/x
  3. Step 3: Cross multiply
    713,269.23x = 1,070,067.90 × 233,512.53
  4. Step 4: Simplify right side
    713,269.23x = 249,874,262,600.79
  5. Step 5: Solve for x
    x = 249,874,262,600.79/713,269.23
  6. Step 6: Final answer
    x = 350,322.50

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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.