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Finding the Fourth Proportional to 524,341.29, 786,013.63 and 334,268.21

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Solution

The fourth proportional to 524,341.29, 786,013.63 and 334,268.21 is: 501,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,341.29 : 786,013.63 = 334,268.21 : x
  2. Step 2: Convert to fraction form
    524,341.29/786,013.63 = 334,268.21/x
  3. Step 3: Cross multiply
    524,341.29x = 786,013.63 × 334,268.21
  4. Step 4: Simplify right side
    524,341.29x = 262,739,364,369.96
  5. Step 5: Solve for x
    x = 262,739,364,369.96/524,341.29
  6. Step 6: Final answer
    x = 501,084.64

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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.