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Finding the Fourth Proportional to 531,178.53, 733,025.24 and 289,460.53

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Solution

The fourth proportional to 531,178.53, 733,025.24 and 289,460.53 is: 399,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,178.53 : 733,025.24 = 289,460.53 : x
  2. Step 2: Convert to fraction form
    531,178.53/733,025.24 = 289,460.53/x
  3. Step 3: Cross multiply
    531,178.53x = 733,025.24 × 289,460.53
  4. Step 4: Simplify right side
    531,178.53x = 212,181,870,808.65
  5. Step 5: Solve for x
    x = 212,181,870,808.65/531,178.53
  6. Step 6: Final answer
    x = 399,454.91

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1.5x scale

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.