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Finding the Fourth Proportional to 713,078.13, 1,070,037.68 and 264,114.37

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Solution

The fourth proportional to 713,078.13, 1,070,037.68 and 264,114.37 is: 396,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,078.13 : 1,070,037.68 = 264,114.37 : x
  2. Step 2: Convert to fraction form
    713,078.13/1,070,037.68 = 264,114.37/x
  3. Step 3: Cross multiply
    713,078.13x = 1,070,037.68 × 264,114.37
  4. Step 4: Simplify right side
    713,078.13x = 282,612,327,746.44
  5. Step 5: Solve for x
    x = 282,612,327,746.44/713,078.13
  6. Step 6: Final answer
    x = 396,327.29

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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.