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Finding the Fourth Proportional to 686,360.12, 946,856.59 and 431,851.64

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Solution

The fourth proportional to 686,360.12, 946,856.59 and 431,851.64 is: 595,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,360.12 : 946,856.59 = 431,851.64 : x
  2. Step 2: Convert to fraction form
    686,360.12/946,856.59 = 431,851.64/x
  3. Step 3: Cross multiply
    686,360.12x = 946,856.59 × 431,851.64
  4. Step 4: Simplify right side
    686,360.12x = 408,901,565,422.40
  5. Step 5: Solve for x
    x = 408,901,565,422.40/686,360.12
  6. Step 6: Final answer
    x = 595,753.68

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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.