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Finding the Fourth Proportional to 524,816.83, 724,270.53 and 295,388.98

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Solution

The fourth proportional to 524,816.83, 724,270.53 and 295,388.98 is: 407,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,816.83 : 724,270.53 = 295,388.98 : x
  2. Step 2: Convert to fraction form
    524,816.83/724,270.53 = 295,388.98/x
  3. Step 3: Cross multiply
    524,816.83x = 724,270.53 × 295,388.98
  4. Step 4: Simplify right side
    524,816.83x = 213,941,528,002.46
  5. Step 5: Solve for x
    x = 213,941,528,002.46/524,816.83
  6. Step 6: Final answer
    x = 407,649.90

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Why These Related Problems?

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