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Finding the Fourth Proportional to 478,303, 660,058.14 and 277,215.64

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Solution

The fourth proportional to 478,303, 660,058.14 and 277,215.64 is: 382,557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,303 : 660,058.14 = 277,215.64 : x
  2. Step 2: Convert to fraction form
    478,303/660,058.14 = 277,215.64/x
  3. Step 3: Cross multiply
    478,303x = 660,058.14 × 277,215.64
  4. Step 4: Simplify right side
    478,303x = 182,978,439,717.31
  5. Step 5: Solve for x
    x = 182,978,439,717.31/478,303
  6. Step 6: Final answer
    x = 382,557.58

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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.