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Finding the Fourth Proportional to 651,471.40, 975,306.30 and 464,847.40

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Solution

The fourth proportional to 651,471.40, 975,306.30 and 464,847.40 is: 695,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,471.40 : 975,306.30 = 464,847.40 : x
  2. Step 2: Convert to fraction form
    651,471.40/975,306.30 = 464,847.40/x
  3. Step 3: Cross multiply
    651,471.40x = 975,306.30 × 464,847.40
  4. Step 4: Simplify right side
    651,471.40x = 453,368,597,758.62
  5. Step 5: Solve for x
    x = 453,368,597,758.62/651,471.40
  6. Step 6: Final answer
    x = 695,914.81

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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.