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Finding the Fourth Proportional to 432,254.37, 648,412.70 and 166,014.88

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Solution

The fourth proportional to 432,254.37, 648,412.70 and 166,014.88 is: 249,034.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,254.37 : 648,412.70 = 166,014.88 : x
  2. Step 2: Convert to fraction form
    432,254.37/648,412.70 = 166,014.88/x
  3. Step 3: Cross multiply
    432,254.37x = 648,412.70 × 166,014.88
  4. Step 4: Simplify right side
    432,254.37x = 107,646,154,129.87
  5. Step 5: Solve for x
    x = 107,646,154,129.87/432,254.37
  6. Step 6: Final answer
    x = 249,034.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.