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Finding the Fourth Proportional to 432,558.32, 592,594.97 and 416,385.86

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Solution

The fourth proportional to 432,558.32, 592,594.97 and 416,385.86 is: 570,439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,558.32 : 592,594.97 = 416,385.86 : x
  2. Step 2: Convert to fraction form
    432,558.32/592,594.97 = 416,385.86/x
  3. Step 3: Cross multiply
    432,558.32x = 592,594.97 × 416,385.86
  4. Step 4: Simplify right side
    432,558.32x = 246,748,164,133.20
  5. Step 5: Solve for x
    x = 246,748,164,133.20/432,558.32
  6. Step 6: Final answer
    x = 570,439.07

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1.5x scale

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.