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Finding the Fourth Proportional to 432,332.66, 592,292.98 and 416,165.62

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Solution

The fourth proportional to 432,332.66, 592,292.98 and 416,165.62 is: 570,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,332.66 : 592,292.98 = 416,165.62 : x
  2. Step 2: Convert to fraction form
    432,332.66/592,292.98 = 416,165.62/x
  3. Step 3: Cross multiply
    432,332.66x = 592,292.98 × 416,165.62
  4. Step 4: Simplify right side
    432,332.66x = 246,491,975,243.35
  5. Step 5: Solve for x
    x = 246,491,975,243.35/432,332.66
  6. Step 6: Final answer
    x = 570,144.24

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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.