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Finding the Fourth Proportional to 501,257.34, 691,771.71 and 286,392.78

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Solution

The fourth proportional to 501,257.34, 691,771.71 and 286,392.78 is: 395,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,257.34 : 691,771.71 = 286,392.78 : x
  2. Step 2: Convert to fraction form
    501,257.34/691,771.71 = 286,392.78/x
  3. Step 3: Cross multiply
    501,257.34x = 691,771.71 × 286,392.78
  4. Step 4: Simplify right side
    501,257.34x = 198,118,423,152.25
  5. Step 5: Solve for x
    x = 198,118,423,152.25/501,257.34
  6. Step 6: Final answer
    x = 395,242.94

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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.