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Finding the Fourth Proportional to 505,178.85, 697,129.41 and 301,124.55

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Solution

The fourth proportional to 505,178.85, 697,129.41 and 301,124.55 is: 415,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,178.85 : 697,129.41 = 301,124.55 : x
  2. Step 2: Convert to fraction form
    505,178.85/697,129.41 = 301,124.55/x
  3. Step 3: Cross multiply
    505,178.85x = 697,129.41 × 301,124.55
  4. Step 4: Simplify right side
    505,178.85x = 209,922,779,878.02
  5. Step 5: Solve for x
    x = 209,922,779,878.02/505,178.85
  6. Step 6: Final answer
    x = 415,541.51

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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.