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Finding the Fourth Proportional to 295,504.16, 407,815.57 and 164,702.16

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Solution

The fourth proportional to 295,504.16, 407,815.57 and 164,702.16 is: 227,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,504.16 : 407,815.57 = 164,702.16 : x
  2. Step 2: Convert to fraction form
    295,504.16/407,815.57 = 164,702.16/x
  3. Step 3: Cross multiply
    295,504.16x = 407,815.57 × 164,702.16
  4. Step 4: Simplify right side
    295,504.16x = 67,168,105,466.51
  5. Step 5: Solve for x
    x = 67,168,105,466.51/295,504.16
  6. Step 6: Final answer
    x = 227,300.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.