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Finding the Fourth Proportional to 432,042.35, 596,206.05 and 241,051.64

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Solution

The fourth proportional to 432,042.35, 596,206.05 and 241,051.64 is: 332,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,042.35 : 596,206.05 = 241,051.64 : x
  2. Step 2: Convert to fraction form
    432,042.35/596,206.05 = 241,051.64/x
  3. Step 3: Cross multiply
    432,042.35x = 596,206.05 × 241,051.64
  4. Step 4: Simplify right side
    432,042.35x = 143,716,446,130.42
  5. Step 5: Solve for x
    x = 143,716,446,130.42/432,042.35
  6. Step 6: Final answer
    x = 332,644.35

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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.