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Finding the Fourth Proportional to 432,178, 596,465.72 and 241,203.68

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Solution

The fourth proportional to 432,178, 596,465.72 and 241,203.68 is: 332,894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,178 : 596,465.72 = 241,203.68 : x
  2. Step 2: Convert to fraction form
    432,178/596,465.72 = 241,203.68/x
  3. Step 3: Cross multiply
    432,178x = 596,465.72 × 241,203.68
  4. Step 4: Simplify right side
    432,178x = 143,869,726,657.85
  5. Step 5: Solve for x
    x = 143,869,726,657.85/432,178
  6. Step 6: Final answer
    x = 332,894.61

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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.