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Finding the Fourth Proportional to 287,033.76, 430,552.80 and 100,045.44

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Solution

The fourth proportional to 287,033.76, 430,552.80 and 100,045.44 is: 150,068.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,033.76 : 430,552.80 = 100,045.44 : x
  2. Step 2: Convert to fraction form
    287,033.76/430,552.80 = 100,045.44/x
  3. Step 3: Cross multiply
    287,033.76x = 430,552.80 × 100,045.44
  4. Step 4: Simplify right side
    287,033.76x = 43,074,844,319.23
  5. Step 5: Solve for x
    x = 43,074,844,319.23/287,033.76
  6. Step 6: Final answer
    x = 150,068.91

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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.