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Finding the Fourth Proportional to 415,196.34, 572,973.12 and 233,916.18

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Solution

The fourth proportional to 415,196.34, 572,973.12 and 233,916.18 is: 322,805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,196.34 : 572,973.12 = 233,916.18 : x
  2. Step 2: Convert to fraction form
    415,196.34/572,973.12 = 233,916.18/x
  3. Step 3: Cross multiply
    415,196.34x = 572,973.12 × 233,916.18
  4. Step 4: Simplify right side
    415,196.34x = 134,027,683,473.08
  5. Step 5: Solve for x
    x = 134,027,683,473.08/415,196.34
  6. Step 6: Final answer
    x = 322,805.55

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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.