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Finding the Fourth Proportional to 564,339.16, 778,797.54 and 309,714.04

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Solution

The fourth proportional to 564,339.16, 778,797.54 and 309,714.04 is: 427,410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,339.16 : 778,797.54 = 309,714.04 : x
  2. Step 2: Convert to fraction form
    564,339.16/778,797.54 = 309,714.04/x
  3. Step 3: Cross multiply
    564,339.16x = 778,797.54 × 309,714.04
  4. Step 4: Simplify right side
    564,339.16x = 241,204,532,455.46
  5. Step 5: Solve for x
    x = 241,204,532,455.46/564,339.16
  6. Step 6: Final answer
    x = 427,410.59

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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.