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Finding the Fourth Proportional to 299,317.16, 413,058.91 and 163,353.98

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Solution

The fourth proportional to 299,317.16, 413,058.91 and 163,353.98 is: 225,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,317.16 : 413,058.91 = 163,353.98 : x
  2. Step 2: Convert to fraction form
    299,317.16/413,058.91 = 163,353.98/x
  3. Step 3: Cross multiply
    299,317.16x = 413,058.91 × 163,353.98
  4. Step 4: Simplify right side
    299,317.16x = 67,474,817,547.22
  5. Step 5: Solve for x
    x = 67,474,817,547.22/299,317.16
  6. Step 6: Final answer
    x = 225,429.17

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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.