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Finding the Fourth Proportional to 524,950.95, 724,424.13 and 295,507.79

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Solution

The fourth proportional to 524,950.95, 724,424.13 and 295,507.79 is: 407,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,950.95 : 724,424.13 = 295,507.79 : x
  2. Step 2: Convert to fraction form
    524,950.95/724,424.13 = 295,507.79/x
  3. Step 3: Cross multiply
    524,950.95x = 724,424.13 × 295,507.79
  4. Step 4: Simplify right side
    524,950.95x = 214,072,970,056.85
  5. Step 5: Solve for x
    x = 214,072,970,056.85/524,950.95
  6. Step 6: Final answer
    x = 407,796.14

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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.