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Finding the Fourth Proportional to 406,687.10, 610,030.65 and 301,711.10

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Solution

The fourth proportional to 406,687.10, 610,030.65 and 301,711.10 is: 452,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,687.10 : 610,030.65 = 301,711.10 : x
  2. Step 2: Convert to fraction form
    406,687.10/610,030.65 = 301,711.10/x
  3. Step 3: Cross multiply
    406,687.10x = 610,030.65 × 301,711.10
  4. Step 4: Simplify right side
    406,687.10x = 184,053,018,445.22
  5. Step 5: Solve for x
    x = 184,053,018,445.22/406,687.10
  6. Step 6: Final answer
    x = 452,566.65

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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.