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Finding the Fourth Proportional to 531,920.64, 733,950.24 and 317,080.68

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Solution

The fourth proportional to 531,920.64, 733,950.24 and 317,080.68 is: 437,511.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,920.64 : 733,950.24 = 317,080.68 : x
  2. Step 2: Convert to fraction form
    531,920.64/733,950.24 = 317,080.68/x
  3. Step 3: Cross multiply
    531,920.64x = 733,950.24 × 317,080.68
  4. Step 4: Simplify right side
    531,920.64x = 232,721,441,185.36
  5. Step 5: Solve for x
    x = 232,721,441,185.36/531,920.64
  6. Step 6: Final answer
    x = 437,511.58

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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.