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Finding the Fourth Proportional to 506,564.89, 698,991.07 and 288,801.65

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Solution

The fourth proportional to 506,564.89, 698,991.07 and 288,801.65 is: 398,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,564.89 : 698,991.07 = 288,801.65 : x
  2. Step 2: Convert to fraction form
    506,564.89/698,991.07 = 288,801.65/x
  3. Step 3: Cross multiply
    506,564.89x = 698,991.07 × 288,801.65
  4. Step 4: Simplify right side
    506,564.89x = 201,869,774,351.27
  5. Step 5: Solve for x
    x = 201,869,774,351.27/506,564.89
  6. Step 6: Final answer
    x = 398,507.24

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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.