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Finding the Fourth Proportional to 432,333.66, 592,294.35 and 416,166.62

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Solution

The fourth proportional to 432,333.66, 592,294.35 and 416,166.62 is: 570,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,333.66 : 592,294.35 = 416,166.62 : x
  2. Step 2: Convert to fraction form
    432,333.66/592,294.35 = 416,166.62/x
  3. Step 3: Cross multiply
    432,333.66x = 592,294.35 × 416,166.62
  4. Step 4: Simplify right side
    432,333.66x = 246,493,137,684.60
  5. Step 5: Solve for x
    x = 246,493,137,684.60/432,333.66
  6. Step 6: Final answer
    x = 570,145.61

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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.