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Finding the Fourth Proportional to 321,430.50, 482,242.11 and 96,798.24

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Solution

The fourth proportional to 321,430.50, 482,242.11 and 96,798.24 is: 145,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,430.50 : 482,242.11 = 96,798.24 : x
  2. Step 2: Convert to fraction form
    321,430.50/482,242.11 = 96,798.24/x
  3. Step 3: Cross multiply
    321,430.50x = 482,242.11 × 96,798.24
  4. Step 4: Simplify right side
    321,430.50x = 46,680,187,501.89
  5. Step 5: Solve for x
    x = 46,680,187,501.89/321,430.50
  6. Step 6: Final answer
    x = 145,226.38

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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.