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Finding the Fourth Proportional to 432,331.16, 592,290.93 and 416,164.12

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Solution

The fourth proportional to 432,331.16, 592,290.93 and 416,164.12 is: 570,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,331.16 : 592,290.93 = 416,164.12 : x
  2. Step 2: Convert to fraction form
    432,331.16/592,290.93 = 416,164.12/x
  3. Step 3: Cross multiply
    432,331.16x = 592,290.93 × 416,164.12
  4. Step 4: Simplify right side
    432,331.16x = 246,490,231,586.61
  5. Step 5: Solve for x
    x = 246,490,231,586.61/432,331.16
  6. Step 6: Final answer
    x = 570,142.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.