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Finding the Fourth Proportional to 432,043.85, 596,208.12 and 241,053.14

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Solution

The fourth proportional to 432,043.85, 596,208.12 and 241,053.14 is: 332,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,043.85 : 596,208.12 = 241,053.14 : x
  2. Step 2: Convert to fraction form
    432,043.85/596,208.12 = 241,053.14/x
  3. Step 3: Cross multiply
    432,043.85x = 596,208.12 × 241,053.14
  4. Step 4: Simplify right side
    432,043.85x = 143,717,839,419.50
  5. Step 5: Solve for x
    x = 143,717,839,419.50/432,043.85
  6. Step 6: Final answer
    x = 332,646.42

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1.5x scale

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.