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Finding the Fourth Proportional to 564,265.26, 778,699.52 and 322,570.32

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Solution

The fourth proportional to 564,265.26, 778,699.52 and 322,570.32 is: 445,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,265.26 : 778,699.52 = 322,570.32 : x
  2. Step 2: Convert to fraction form
    564,265.26/778,699.52 = 322,570.32/x
  3. Step 3: Cross multiply
    564,265.26x = 778,699.52 × 322,570.32
  4. Step 4: Simplify right side
    564,265.26x = 251,185,353,350.25
  5. Step 5: Solve for x
    x = 251,185,353,350.25/564,265.26
  6. Step 6: Final answer
    x = 445,154.74

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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.