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Finding the Fourth Proportional to 424,263.85, 585,484 and 233,289.61

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Solution

The fourth proportional to 424,263.85, 585,484 and 233,289.61 is: 321,939.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,263.85 : 585,484 = 233,289.61 : x
  2. Step 2: Convert to fraction form
    424,263.85/585,484 = 233,289.61/x
  3. Step 3: Cross multiply
    424,263.85x = 585,484 × 233,289.61
  4. Step 4: Simplify right side
    424,263.85x = 136,587,334,021.24
  5. Step 5: Solve for x
    x = 136,587,334,021.24/424,263.85
  6. Step 6: Final answer
    x = 321,939.60

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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.