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Finding the Fourth Proportional to 455,506.76, 683,292.90 and 175,023.92

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Solution

The fourth proportional to 455,506.76, 683,292.90 and 175,023.92 is: 262,548.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,506.76 : 683,292.90 = 175,023.92 : x
  2. Step 2: Convert to fraction form
    455,506.76/683,292.90 = 175,023.92/x
  3. Step 3: Cross multiply
    455,506.76x = 683,292.90 × 175,023.92
  4. Step 4: Simplify right side
    455,506.76x = 119,592,601,866.17
  5. Step 5: Solve for x
    x = 119,592,601,866.17/455,506.76
  6. Step 6: Final answer
    x = 262,548.47

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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.