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Finding the Fourth Proportional to 406,973.04, 561,651.54 and 225,702.30

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Solution

The fourth proportional to 406,973.04, 561,651.54 and 225,702.30 is: 311,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,973.04 : 561,651.54 = 225,702.30 : x
  2. Step 2: Convert to fraction form
    406,973.04/561,651.54 = 225,702.30/x
  3. Step 3: Cross multiply
    406,973.04x = 561,651.54 × 225,702.30
  4. Step 4: Simplify right side
    406,973.04x = 126,766,044,376.54
  5. Step 5: Solve for x
    x = 126,766,044,376.54/406,973.04
  6. Step 6: Final answer
    x = 311,485.12

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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.