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Finding the Fourth Proportional to 432,587.92, 592,635.62 and 416,415.46

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Solution

The fourth proportional to 432,587.92, 592,635.62 and 416,415.46 is: 570,479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,587.92 : 592,635.62 = 416,415.46 : x
  2. Step 2: Convert to fraction form
    432,587.92/592,635.62 = 416,415.46/x
  3. Step 3: Cross multiply
    432,587.92x = 592,635.62 × 416,415.46
  4. Step 4: Simplify right side
    432,587.92x = 246,782,634,314.69
  5. Step 5: Solve for x
    x = 246,782,634,314.69/432,587.92
  6. Step 6: Final answer
    x = 570,479.72

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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.