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Finding the Fourth Proportional to 531,215.81, 733,056.44 and 289,493.16

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Solution

The fourth proportional to 531,215.81, 733,056.44 and 289,493.16 is: 399,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,215.81 : 733,056.44 = 289,493.16 : x
  2. Step 2: Convert to fraction form
    531,215.81/733,056.44 = 289,493.16/x
  3. Step 3: Cross multiply
    531,215.81x = 733,056.44 × 289,493.16
  4. Step 4: Simplify right side
    531,215.81x = 212,214,827,106.59
  5. Step 5: Solve for x
    x = 212,214,827,106.59/531,215.81
  6. Step 6: Final answer
    x = 399,488.91

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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.