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Finding the Fourth Proportional to 677,464.48, 934,083.66 and 585,419.32

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Solution

The fourth proportional to 677,464.48, 934,083.66 and 585,419.32 is: 807,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,464.48 : 934,083.66 = 585,419.32 : x
  2. Step 2: Convert to fraction form
    677,464.48/934,083.66 = 585,419.32/x
  3. Step 3: Cross multiply
    677,464.48x = 934,083.66 × 585,419.32
  4. Step 4: Simplify right side
    677,464.48x = 546,830,621,060.31
  5. Step 5: Solve for x
    x = 546,830,621,060.31/677,464.48
  6. Step 6: Final answer
    x = 807,172.39

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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.