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Finding the Fourth Proportional to 586,565, 809,451.06 and 344,874.76

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Solution

The fourth proportional to 586,565, 809,451.06 and 344,874.76 is: 475,922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,565 : 809,451.06 = 344,874.76 : x
  2. Step 2: Convert to fraction form
    586,565/809,451.06 = 344,874.76/x
  3. Step 3: Cross multiply
    586,565x = 809,451.06 × 344,874.76
  4. Step 4: Simplify right side
    586,565x = 279,159,240,049.25
  5. Step 5: Solve for x
    x = 279,159,240,049.25/586,565
  6. Step 6: Final answer
    x = 475,922.09

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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.