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Finding the Fourth Proportional to 455,948.64, 683,175.72 and 156,267.72

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Solution

The fourth proportional to 455,948.64, 683,175.72 and 156,267.72 is: 234,145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,948.64 : 683,175.72 = 156,267.72 : x
  2. Step 2: Convert to fraction form
    455,948.64/683,175.72 = 156,267.72/x
  3. Step 3: Cross multiply
    455,948.64x = 683,175.72 × 156,267.72
  4. Step 4: Simplify right side
    455,948.64x = 106,758,312,123.76
  5. Step 5: Solve for x
    x = 106,758,312,123.76/455,948.64
  6. Step 6: Final answer
    x = 234,145.48

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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.