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Finding the Fourth Proportional to 543,492.16, 815,266.69 and 164,403.18

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Solution

The fourth proportional to 543,492.16, 815,266.69 and 164,403.18 is: 246,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,492.16 : 815,266.69 = 164,403.18 : x
  2. Step 2: Convert to fraction form
    543,492.16/815,266.69 = 164,403.18/x
  3. Step 3: Cross multiply
    543,492.16x = 815,266.69 × 164,403.18
  4. Step 4: Simplify right side
    543,492.16x = 134,032,435,973.07
  5. Step 5: Solve for x
    x = 134,032,435,973.07/543,492.16
  6. Step 6: Final answer
    x = 246,613.38

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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.