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Finding the Fourth Proportional to 564,009.28, 778,175.04 and 362,921.92

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Solution

The fourth proportional to 564,009.28, 778,175.04 and 362,921.92 is: 500,730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,009.28 : 778,175.04 = 362,921.92 : x
  2. Step 2: Convert to fraction form
    564,009.28/778,175.04 = 362,921.92/x
  3. Step 3: Cross multiply
    564,009.28x = 778,175.04 × 362,921.92
  4. Step 4: Simplify right side
    564,009.28x = 282,416,779,612.88
  5. Step 5: Solve for x
    x = 282,416,779,612.88/564,009.28
  6. Step 6: Final answer
    x = 500,730.73

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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.