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Finding the Fourth Proportional to 432,883.16, 648,762.42 and 176,416.28

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Solution

The fourth proportional to 432,883.16, 648,762.42 and 176,416.28 is: 264,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,883.16 : 648,762.42 = 176,416.28 : x
  2. Step 2: Convert to fraction form
    432,883.16/648,762.42 = 176,416.28/x
  3. Step 3: Cross multiply
    432,883.16x = 648,762.42 × 176,416.28
  4. Step 4: Simplify right side
    432,883.16x = 114,452,252,740.20
  5. Step 5: Solve for x
    x = 114,452,252,740.20/432,883.16
  6. Step 6: Final answer
    x = 264,395.25

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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.