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Finding the Fourth Proportional to 432,478.80, 596,822.04 and 241,499.16

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Solution

The fourth proportional to 432,478.80, 596,822.04 and 241,499.16 is: 333,269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,478.80 : 596,822.04 = 241,499.16 : x
  2. Step 2: Convert to fraction form
    432,478.80/596,822.04 = 241,499.16/x
  3. Step 3: Cross multiply
    432,478.80x = 596,822.04 × 241,499.16
  4. Step 4: Simplify right side
    432,478.80x = 144,132,021,329.49
  5. Step 5: Solve for x
    x = 144,132,021,329.49/432,478.80
  6. Step 6: Final answer
    x = 333,269.56

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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.