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Finding the Fourth Proportional to 406,377.91, 561,075.54 and 253,648.76

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Solution

The fourth proportional to 406,377.91, 561,075.54 and 253,648.76 is: 350,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,377.91 : 561,075.54 = 253,648.76 : x
  2. Step 2: Convert to fraction form
    406,377.91/561,075.54 = 253,648.76/x
  3. Step 3: Cross multiply
    406,377.91x = 561,075.54 × 253,648.76
  4. Step 4: Simplify right side
    406,377.91x = 142,316,114,987.33
  5. Step 5: Solve for x
    x = 142,316,114,987.33/406,377.91
  6. Step 6: Final answer
    x = 350,206.33

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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.