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Finding the Fourth Proportional to 531,298.82, 733,192.93 and 289,581.59

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Solution

The fourth proportional to 531,298.82, 733,192.93 and 289,581.59 is: 399,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,298.82 : 733,192.93 = 289,581.59 : x
  2. Step 2: Convert to fraction form
    531,298.82/733,192.93 = 289,581.59/x
  3. Step 3: Cross multiply
    531,298.82x = 733,192.93 × 289,581.59
  4. Step 4: Simplify right side
    531,298.82x = 212,319,176,641.12
  5. Step 5: Solve for x
    x = 212,319,176,641.12/531,298.82
  6. Step 6: Final answer
    x = 399,622.90

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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.