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Finding the Fourth Proportional to 501,702.24, 692,349.57 and 286,846.80

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Solution

The fourth proportional to 501,702.24, 692,349.57 and 286,846.80 is: 395,848.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,702.24 : 692,349.57 = 286,846.80 : x
  2. Step 2: Convert to fraction form
    501,702.24/692,349.57 = 286,846.80/x
  3. Step 3: Cross multiply
    501,702.24x = 692,349.57 × 286,846.80
  4. Step 4: Simplify right side
    501,702.24x = 198,598,258,635.88
  5. Step 5: Solve for x
    x = 198,598,258,635.88/501,702.24
  6. Step 6: Final answer
    x = 395,848.86

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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.