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Finding the Fourth Proportional to 524,066.84, 723,139.28 and 294,591.68

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Solution

The fourth proportional to 524,066.84, 723,139.28 and 294,591.68 is: 406,495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,066.84 : 723,139.28 = 294,591.68 : x
  2. Step 2: Convert to fraction form
    524,066.84/723,139.28 = 294,591.68/x
  3. Step 3: Cross multiply
    524,066.84x = 723,139.28 × 294,591.68
  4. Step 4: Simplify right side
    524,066.84x = 213,030,815,369.19
  5. Step 5: Solve for x
    x = 213,030,815,369.19/524,066.84
  6. Step 6: Final answer
    x = 406,495.51

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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.