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Finding the Fourth Proportional to 406,649.04, 561,368.52 and 270,909.24

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Solution

The fourth proportional to 406,649.04, 561,368.52 and 270,909.24 is: 373,983.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,649.04 : 561,368.52 = 270,909.24 : x
  2. Step 2: Convert to fraction form
    406,649.04/561,368.52 = 270,909.24/x
  3. Step 3: Cross multiply
    406,649.04x = 561,368.52 × 270,909.24
  4. Step 4: Simplify right side
    406,649.04x = 152,079,919,113.13
  5. Step 5: Solve for x
    x = 152,079,919,113.13/406,649.04
  6. Step 6: Final answer
    x = 373,983.22

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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.