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Finding the Fourth Proportional to 564,419.15, 778,898.93 and 306,296.10

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Solution

The fourth proportional to 564,419.15, 778,898.93 and 306,296.10 is: 422,688.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,419.15 : 778,898.93 = 306,296.10 : x
  2. Step 2: Convert to fraction form
    564,419.15/778,898.93 = 306,296.10/x
  3. Step 3: Cross multiply
    564,419.15x = 778,898.93 × 306,296.10
  4. Step 4: Simplify right side
    564,419.15x = 238,573,704,553.17
  5. Step 5: Solve for x
    x = 238,573,704,553.17/564,419.15
  6. Step 6: Final answer
    x = 422,688.89

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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.