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Finding the Fourth Proportional to 476,322.90, 714,333.76 and 156,422.04

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Solution

The fourth proportional to 476,322.90, 714,333.76 and 156,422.04 is: 234,583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,322.90 : 714,333.76 = 156,422.04 : x
  2. Step 2: Convert to fraction form
    476,322.90/714,333.76 = 156,422.04/x
  3. Step 3: Cross multiply
    476,322.90x = 714,333.76 × 156,422.04
  4. Step 4: Simplify right side
    476,322.90x = 111,737,543,980.07
  5. Step 5: Solve for x
    x = 111,737,543,980.07/476,322.90
  6. Step 6: Final answer
    x = 234,583.61

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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.