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Finding the Fourth Proportional to 586,498.24, 809,364.72 and 318,226.24

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Solution

The fourth proportional to 586,498.24, 809,364.72 and 318,226.24 is: 439,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,498.24 : 809,364.72 = 318,226.24 : x
  2. Step 2: Convert to fraction form
    586,498.24/809,364.72 = 318,226.24/x
  3. Step 3: Cross multiply
    586,498.24x = 809,364.72 × 318,226.24
  4. Step 4: Simplify right side
    586,498.24x = 257,561,091,634.25
  5. Step 5: Solve for x
    x = 257,561,091,634.25/586,498.24
  6. Step 6: Final answer
    x = 439,150.66

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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.