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Finding the Fourth Proportional to 415,157.10, 572,971.23 and 233,904.02

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Solution

The fourth proportional to 415,157.10, 572,971.23 and 233,904.02 is: 322,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,157.10 : 572,971.23 = 233,904.02 : x
  2. Step 2: Convert to fraction form
    415,157.10/572,971.23 = 233,904.02/x
  3. Step 3: Cross multiply
    415,157.10x = 572,971.23 × 233,904.02
  4. Step 4: Simplify right side
    415,157.10x = 134,020,271,176.49
  5. Step 5: Solve for x
    x = 134,020,271,176.49/415,157.10
  6. Step 6: Final answer
    x = 322,818.21

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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.