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Finding the Fourth Proportional to 569,287.08, 854,070.75 and 401,135.76

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Solution

The fourth proportional to 569,287.08, 854,070.75 and 401,135.76 is: 601,802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,287.08 : 854,070.75 = 401,135.76 : x
  2. Step 2: Convert to fraction form
    569,287.08/854,070.75 = 401,135.76/x
  3. Step 3: Cross multiply
    569,287.08x = 854,070.75 × 401,135.76
  4. Step 4: Simplify right side
    569,287.08x = 342,598,319,395.02
  5. Step 5: Solve for x
    x = 342,598,319,395.02/569,287.08
  6. Step 6: Final answer
    x = 601,802.38

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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.