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Finding the Fourth Proportional to 292,928.16, 404,225.16 and 165,596.16

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Solution

The fourth proportional to 292,928.16, 404,225.16 and 165,596.16 is: 228,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,928.16 : 404,225.16 = 165,596.16 : x
  2. Step 2: Convert to fraction form
    292,928.16/404,225.16 = 165,596.16/x
  3. Step 3: Cross multiply
    292,928.16x = 404,225.16 × 165,596.16
  4. Step 4: Simplify right side
    292,928.16x = 66,938,134,271.39
  5. Step 5: Solve for x
    x = 66,938,134,271.39/292,928.16
  6. Step 6: Final answer
    x = 228,513.82

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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.