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Finding the Fourth Proportional to 538,416.10, 743,012.68 and 296,698.61

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Solution

The fourth proportional to 538,416.10, 743,012.68 and 296,698.61 is: 409,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,416.10 : 743,012.68 = 296,698.61 : x
  2. Step 2: Convert to fraction form
    538,416.10/743,012.68 = 296,698.61/x
  3. Step 3: Cross multiply
    538,416.10x = 743,012.68 × 296,698.61
  4. Step 4: Simplify right side
    538,416.10x = 220,450,829,368.38
  5. Step 5: Solve for x
    x = 220,450,829,368.38/538,416.10
  6. Step 6: Final answer
    x = 409,443.23

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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.