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Finding the Fourth Proportional to 406,547.80, 609,918.59 and 140,310.63

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Solution

The fourth proportional to 406,547.80, 609,918.59 and 140,310.63 is: 210,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,547.80 : 609,918.59 = 140,310.63 : x
  2. Step 2: Convert to fraction form
    406,547.80/609,918.59 = 140,310.63/x
  3. Step 3: Cross multiply
    406,547.80x = 609,918.59 × 140,310.63
  4. Step 4: Simplify right side
    406,547.80x = 85,578,061,611.61
  5. Step 5: Solve for x
    x = 85,578,061,611.61/406,547.80
  6. Step 6: Final answer
    x = 210,499.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.