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Finding the Fourth Proportional to 653,492.56, 901,713.96 and 408,448.42

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Solution

The fourth proportional to 653,492.56, 901,713.96 and 408,448.42 is: 563,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,492.56 : 901,713.96 = 408,448.42 : x
  2. Step 2: Convert to fraction form
    653,492.56/901,713.96 = 408,448.42/x
  3. Step 3: Cross multiply
    653,492.56x = 901,713.96 × 408,448.42
  4. Step 4: Simplify right side
    653,492.56x = 368,303,642,253.94
  5. Step 5: Solve for x
    x = 368,303,642,253.94/653,492.56
  6. Step 6: Final answer
    x = 563,592.71

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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.