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Finding the Fourth Proportional to 432,556.80, 592,592.91 and 416,384.37

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Solution

The fourth proportional to 432,556.80, 592,592.91 and 416,384.37 is: 570,437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,556.80 : 592,592.91 = 416,384.37 : x
  2. Step 2: Convert to fraction form
    432,556.80/592,592.91 = 416,384.37/x
  3. Step 3: Cross multiply
    432,556.80x = 592,592.91 × 416,384.37
  4. Step 4: Simplify right side
    432,556.80x = 246,746,425,496.82
  5. Step 5: Solve for x
    x = 246,746,425,496.82/432,556.80
  6. Step 6: Final answer
    x = 570,437.05

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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.