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Finding the Fourth Proportional to 505,306.88, 697,281.59 and 287,457.58

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Solution

The fourth proportional to 505,306.88, 697,281.59 and 287,457.58 is: 396,667.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,306.88 : 697,281.59 = 287,457.58 : x
  2. Step 2: Convert to fraction form
    505,306.88/697,281.59 = 287,457.58/x
  3. Step 3: Cross multiply
    505,306.88x = 697,281.59 × 287,457.58
  4. Step 4: Simplify right side
    505,306.88x = 200,438,881,182.83
  5. Step 5: Solve for x
    x = 200,438,881,182.83/505,306.88
  6. Step 6: Final answer
    x = 396,667.63

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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.