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Finding the Fourth Proportional to 513,877.40, 770,816.10 and 513,877.40

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Solution

The fourth proportional to 513,877.40, 770,816.10 and 513,877.40 is: 770,816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,877.40 : 770,816.10 = 513,877.40 : x
  2. Step 2: Convert to fraction form
    513,877.40/770,816.10 = 513,877.40/x
  3. Step 3: Cross multiply
    513,877.40x = 770,816.10 × 513,877.40
  4. Step 4: Simplify right side
    513,877.40x = 396,104,973,346.14
  5. Step 5: Solve for x
    x = 396,104,973,346.14/513,877.40
  6. Step 6: Final answer
    x = 770,816.10

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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.