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Finding the Fourth Proportional to 432,014.86, 596,152.57 and 238,424.30

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Solution

The fourth proportional to 432,014.86, 596,152.57 and 238,424.30 is: 329,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,014.86 : 596,152.57 = 238,424.30 : x
  2. Step 2: Convert to fraction form
    432,014.86/596,152.57 = 238,424.30/x
  3. Step 3: Cross multiply
    432,014.86x = 596,152.57 × 238,424.30
  4. Step 4: Simplify right side
    432,014.86x = 142,137,259,195.45
  5. Step 5: Solve for x
    x = 142,137,259,195.45/432,014.86
  6. Step 6: Final answer
    x = 329,010.12

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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.