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Finding the Fourth Proportional to 531,497.91, 733,457.23 and 289,782.57

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Solution

The fourth proportional to 531,497.91, 733,457.23 and 289,782.57 is: 399,894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,497.91 : 733,457.23 = 289,782.57 : x
  2. Step 2: Convert to fraction form
    531,497.91/733,457.23 = 289,782.57/x
  3. Step 3: Cross multiply
    531,497.91x = 733,457.23 × 289,782.57
  4. Step 4: Simplify right side
    531,497.91x = 212,543,121,094.48
  5. Step 5: Solve for x
    x = 212,543,121,094.48/531,497.91
  6. Step 6: Final answer
    x = 399,894.56

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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.