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Finding the Fourth Proportional to 531,214.71, 732,992.49 and 298,595.77

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Solution

The fourth proportional to 531,214.71, 732,992.49 and 298,595.77 is: 412,015.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,214.71 : 732,992.49 = 298,595.77 : x
  2. Step 2: Convert to fraction form
    531,214.71/732,992.49 = 298,595.77/x
  3. Step 3: Cross multiply
    531,214.71x = 732,992.49 × 298,595.77
  4. Step 4: Simplify right side
    531,214.71x = 218,868,455,123.29
  5. Step 5: Solve for x
    x = 218,868,455,123.29/531,214.71
  6. Step 6: Final answer
    x = 412,015.05

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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.