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Finding the Fourth Proportional to 713,399.16, 1,070,100.72 and 180,920.52

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Solution

The fourth proportional to 713,399.16, 1,070,100.72 and 180,920.52 is: 271,381.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,399.16 : 1,070,100.72 = 180,920.52 : x
  2. Step 2: Convert to fraction form
    713,399.16/1,070,100.72 = 180,920.52/x
  3. Step 3: Cross multiply
    713,399.16x = 1,070,100.72 × 180,920.52
  4. Step 4: Simplify right side
    713,399.16x = 193,603,178,714.77
  5. Step 5: Solve for x
    x = 193,603,178,714.77/713,399.16
  6. Step 6: Final answer
    x = 271,381.28

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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.