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Finding the Fourth Proportional to 319,702.65, 441,349.35 and 198,883.20

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Solution

The fourth proportional to 319,702.65, 441,349.35 and 198,883.20 is: 274,558.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,702.65 : 441,349.35 = 198,883.20 : x
  2. Step 2: Convert to fraction form
    319,702.65/441,349.35 = 198,883.20/x
  3. Step 3: Cross multiply
    319,702.65x = 441,349.35 × 198,883.20
  4. Step 4: Simplify right side
    319,702.65x = 87,776,971,045.92
  5. Step 5: Solve for x
    x = 87,776,971,045.92/319,702.65
  6. Step 6: Final answer
    x = 274,558.16

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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.