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Finding the Fourth Proportional to 745,662.53, 1,029,013.94 and 406,130.78

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Solution

The fourth proportional to 745,662.53, 1,029,013.94 and 406,130.78 is: 560,460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,662.53 : 1,029,013.94 = 406,130.78 : x
  2. Step 2: Convert to fraction form
    745,662.53/1,029,013.94 = 406,130.78/x
  3. Step 3: Cross multiply
    745,662.53x = 1,029,013.94 × 406,130.78
  4. Step 4: Simplify right side
    745,662.53x = 417,914,237,670.94
  5. Step 5: Solve for x
    x = 417,914,237,670.94/745,662.53
  6. Step 6: Final answer
    x = 560,460.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.