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Finding the Fourth Proportional to 432,193.41, 596,459.88 and 238,638.44

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Solution

The fourth proportional to 432,193.41, 596,459.88 and 238,638.44 is: 329,339.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,193.41 : 596,459.88 = 238,638.44 : x
  2. Step 2: Convert to fraction form
    432,193.41/596,459.88 = 238,638.44/x
  3. Step 3: Cross multiply
    432,193.41x = 596,459.88 × 238,638.44
  4. Step 4: Simplify right side
    432,193.41x = 142,338,252,303.49
  5. Step 5: Solve for x
    x = 142,338,252,303.49/432,193.41
  6. Step 6: Final answer
    x = 329,339.25

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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.