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Finding the Fourth Proportional to 564,330.86, 778,799.04 and 309,691.16

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Solution

The fourth proportional to 564,330.86, 778,799.04 and 309,691.16 is: 427,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,330.86 : 778,799.04 = 309,691.16 : x
  2. Step 2: Convert to fraction form
    564,330.86/778,799.04 = 309,691.16/x
  3. Step 3: Cross multiply
    564,330.86x = 778,799.04 × 309,691.16
  4. Step 4: Simplify right side
    564,330.86x = 241,187,178,104.49
  5. Step 5: Solve for x
    x = 241,187,178,104.49/564,330.86
  6. Step 6: Final answer
    x = 427,386.12

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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.