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Finding the Fourth Proportional to 524,074.49, 723,248.50 and 294,703.98

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Solution

The fourth proportional to 524,074.49, 723,248.50 and 294,703.98 is: 406,705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,074.49 : 723,248.50 = 294,703.98 : x
  2. Step 2: Convert to fraction form
    524,074.49/723,248.50 = 294,703.98/x
  3. Step 3: Cross multiply
    524,074.49x = 723,248.50 × 294,703.98
  4. Step 4: Simplify right side
    524,074.49x = 213,144,211,479.03
  5. Step 5: Solve for x
    x = 213,144,211,479.03/524,074.49
  6. Step 6: Final answer
    x = 406,705.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.