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Finding the Fourth Proportional to 564,094.26, 778,436.73 and 309,443.22

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Solution

The fourth proportional to 564,094.26, 778,436.73 and 309,443.22 is: 427,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,094.26 : 778,436.73 = 309,443.22 : x
  2. Step 2: Convert to fraction form
    564,094.26/778,436.73 = 309,443.22/x
  3. Step 3: Cross multiply
    564,094.26x = 778,436.73 × 309,443.22
  4. Step 4: Simplify right side
    564,094.26x = 240,881,968,297.47
  5. Step 5: Solve for x
    x = 240,881,968,297.47/564,094.26
  6. Step 6: Final answer
    x = 427,024.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.