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Finding the Fourth Proportional to 524,004, 723,091.50 and 309,094.80

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Solution

The fourth proportional to 524,004, 723,091.50 and 309,094.80 is: 426,530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,004 : 723,091.50 = 309,094.80 : x
  2. Step 2: Convert to fraction form
    524,004/723,091.50 = 309,094.80/x
  3. Step 3: Cross multiply
    524,004x = 723,091.50 × 309,094.80
  4. Step 4: Simplify right side
    524,004x = 223,503,822,574.20
  5. Step 5: Solve for x
    x = 223,503,822,574.20/524,004
  6. Step 6: Final answer
    x = 426,530.76

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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.