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Finding the Fourth Proportional to 524,486.28, 723,776.94 and 295,068.36

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Solution

The fourth proportional to 524,486.28, 723,776.94 and 295,068.36 is: 407,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,486.28 : 723,776.94 = 295,068.36 : x
  2. Step 2: Convert to fraction form
    524,486.28/723,776.94 = 295,068.36/x
  3. Step 3: Cross multiply
    524,486.28x = 723,776.94 × 295,068.36
  4. Step 4: Simplify right side
    524,486.28x = 213,563,674,691.62
  5. Step 5: Solve for x
    x = 213,563,674,691.62/524,486.28
  6. Step 6: Final answer
    x = 407,186.39

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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.