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Finding the Fourth Proportional to 436,164.95, 653,197.64 and 295,497.11

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Solution

The fourth proportional to 436,164.95, 653,197.64 and 295,497.11 is: 442,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,164.95 : 653,197.64 = 295,497.11 : x
  2. Step 2: Convert to fraction form
    436,164.95/653,197.64 = 295,497.11/x
  3. Step 3: Cross multiply
    436,164.95x = 653,197.64 × 295,497.11
  4. Step 4: Simplify right side
    436,164.95x = 193,018,013,401.34
  5. Step 5: Solve for x
    x = 193,018,013,401.34/436,164.95
  6. Step 6: Final answer
    x = 442,534.44

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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.