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Finding the Fourth Proportional to 513,688.80, 770,518.80 and 233,205.60

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Solution

The fourth proportional to 513,688.80, 770,518.80 and 233,205.60 is: 349,801.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,688.80 : 770,518.80 = 233,205.60 : x
  2. Step 2: Convert to fraction form
    513,688.80/770,518.80 = 233,205.60/x
  3. Step 3: Cross multiply
    513,688.80x = 770,518.80 × 233,205.60
  4. Step 4: Simplify right side
    513,688.80x = 179,689,299,065.28
  5. Step 5: Solve for x
    x = 179,689,299,065.28/513,688.80
  6. Step 6: Final answer
    x = 349,801.86

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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.