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Finding the Fourth Proportional to 524,140.34, 786,618.74 and 365,334.98

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Solution

The fourth proportional to 524,140.34, 786,618.74 and 365,334.98 is: 548,287.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,140.34 : 786,618.74 = 365,334.98 : x
  2. Step 2: Convert to fraction form
    524,140.34/786,618.74 = 365,334.98/x
  3. Step 3: Cross multiply
    524,140.34x = 786,618.74 × 365,334.98
  4. Step 4: Simplify right side
    524,140.34x = 287,379,338,625.77
  5. Step 5: Solve for x
    x = 287,379,338,625.77/524,140.34
  6. Step 6: Final answer
    x = 548,287.01

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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.