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Finding the Fourth Proportional to 524,159.46, 786,647.43 and 365,354.10

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Solution

The fourth proportional to 524,159.46, 786,647.43 and 365,354.10 is: 548,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,159.46 : 786,647.43 = 365,354.10 : x
  2. Step 2: Convert to fraction form
    524,159.46/786,647.43 = 365,354.10/x
  3. Step 3: Cross multiply
    524,159.46x = 786,647.43 × 365,354.10
  4. Step 4: Simplify right side
    524,159.46x = 287,404,863,804.96
  5. Step 5: Solve for x
    x = 287,404,863,804.96/524,159.46
  6. Step 6: Final answer
    x = 548,315.70

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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.