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Finding the Fourth Proportional to 512,057.40, 766,703.70 and 512,057.40

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Solution

The fourth proportional to 512,057.40, 766,703.70 and 512,057.40 is: 766,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,057.40 : 766,703.70 = 512,057.40 : x
  2. Step 2: Convert to fraction form
    512,057.40/766,703.70 = 512,057.40/x
  3. Step 3: Cross multiply
    512,057.40x = 766,703.70 × 512,057.40
  4. Step 4: Simplify right side
    512,057.40x = 392,596,303,192.38
  5. Step 5: Solve for x
    x = 392,596,303,192.38/512,057.40
  6. Step 6: Final answer
    x = 766,703.70

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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.