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Finding the Fourth Proportional to 564,075.52, 778,416.96 and 322,355.32

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Solution

The fourth proportional to 564,075.52, 778,416.96 and 322,355.32 is: 444,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,075.52 : 778,416.96 = 322,355.32 : x
  2. Step 2: Convert to fraction form
    564,075.52/778,416.96 = 322,355.32/x
  3. Step 3: Cross multiply
    564,075.52x = 778,416.96 × 322,355.32
  4. Step 4: Simplify right side
    564,075.52x = 250,926,848,234.23
  5. Step 5: Solve for x
    x = 250,926,848,234.23/564,075.52
  6. Step 6: Final answer
    x = 444,846.19

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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.