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Finding the Fourth Proportional to 432,549.34, 592,582.74 and 416,376.94

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Solution

The fourth proportional to 432,549.34, 592,582.74 and 416,376.94 is: 570,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,549.34 : 592,582.74 = 416,376.94 : x
  2. Step 2: Convert to fraction form
    432,549.34/592,582.74 = 416,376.94/x
  3. Step 3: Cross multiply
    432,549.34x = 592,582.74 × 416,376.94
  4. Step 4: Simplify right side
    432,549.34x = 246,737,787,978.02
  5. Step 5: Solve for x
    x = 246,737,787,978.02/432,549.34
  6. Step 6: Final answer
    x = 570,426.92

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Why These Related Problems?

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