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Finding the Fourth Proportional to 432,676.50, 596,705.72 and 360,319.00

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Solution

The fourth proportional to 432,676.50, 596,705.72 and 360,319.00 is: 496,917.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,676.50 : 596,705.72 = 360,319.00 : x
  2. Step 2: Convert to fraction form
    432,676.50/596,705.72 = 360,319.00/x
  3. Step 3: Cross multiply
    432,676.50x = 596,705.72 × 360,319.00
  4. Step 4: Simplify right side
    432,676.50x = 215,004,405,031.32
  5. Step 5: Solve for x
    x = 215,004,405,031.32/432,676.50
  6. Step 6: Final answer
    x = 496,917.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.