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Finding the Fourth Proportional to 512,064.08, 706,535.34 and 297,079.64

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Solution

The fourth proportional to 512,064.08, 706,535.34 and 297,079.64 is: 409,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,064.08 : 706,535.34 = 297,079.64 : x
  2. Step 2: Convert to fraction form
    512,064.08/706,535.34 = 297,079.64/x
  3. Step 3: Cross multiply
    512,064.08x = 706,535.34 × 297,079.64
  4. Step 4: Simplify right side
    512,064.08x = 209,897,264,454.48
  5. Step 5: Solve for x
    x = 209,897,264,454.48/512,064.08
  6. Step 6: Final answer
    x = 409,904.29

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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.