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Finding the Fourth Proportional to 504,223.60, 756,335.40 and 409,745.20

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Solution

The fourth proportional to 504,223.60, 756,335.40 and 409,745.20 is: 614,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,223.60 : 756,335.40 = 409,745.20 : x
  2. Step 2: Convert to fraction form
    504,223.60/756,335.40 = 409,745.20/x
  3. Step 3: Cross multiply
    504,223.60x = 756,335.40 × 409,745.20
  4. Step 4: Simplify right side
    504,223.60x = 309,904,799,740.08
  5. Step 5: Solve for x
    x = 309,904,799,740.08/504,223.60
  6. Step 6: Final answer
    x = 614,617.80

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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.