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Finding the Fourth Proportional to 564,012.64, 778,333.21 and 309,362.01

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Solution

The fourth proportional to 564,012.64, 778,333.21 and 309,362.01 is: 426,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,012.64 : 778,333.21 = 309,362.01 : x
  2. Step 2: Convert to fraction form
    564,012.64/778,333.21 = 309,362.01/x
  3. Step 3: Cross multiply
    564,012.64x = 778,333.21 × 309,362.01
  4. Step 4: Simplify right side
    564,012.64x = 240,786,726,295.35
  5. Step 5: Solve for x
    x = 240,786,726,295.35/564,012.64
  6. Step 6: Final answer
    x = 426,917.25

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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.