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Finding the Fourth Proportional to 313,022.76, 469,484.04 and 99,762.96

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Solution

The fourth proportional to 313,022.76, 469,484.04 and 99,762.96 is: 149,628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,022.76 : 469,484.04 = 99,762.96 : x
  2. Step 2: Convert to fraction form
    313,022.76/469,484.04 = 99,762.96/x
  3. Step 3: Cross multiply
    313,022.76x = 469,484.04 × 99,762.96
  4. Step 4: Simplify right side
    313,022.76x = 46,837,117,503.16
  5. Step 5: Solve for x
    x = 46,837,117,503.16/313,022.76
  6. Step 6: Final answer
    x = 149,628.47

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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.