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Finding the Fourth Proportional to 402,015.24, 602,234.70 and 233,180.88

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Solution

The fourth proportional to 402,015.24, 602,234.70 and 233,180.88 is: 349,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,015.24 : 602,234.70 = 233,180.88 : x
  2. Step 2: Convert to fraction form
    402,015.24/602,234.70 = 233,180.88/x
  3. Step 3: Cross multiply
    402,015.24x = 602,234.70 × 233,180.88
  4. Step 4: Simplify right side
    402,015.24x = 140,429,617,312.54
  5. Step 5: Solve for x
    x = 140,429,617,312.54/402,015.24
  6. Step 6: Final answer
    x = 349,314.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.