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Finding the Fourth Proportional to 517,794.80, 714,385.58 and 302,782.66

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Solution

The fourth proportional to 517,794.80, 714,385.58 and 302,782.66 is: 417,739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,794.80 : 714,385.58 = 302,782.66 : x
  2. Step 2: Convert to fraction form
    517,794.80/714,385.58 = 302,782.66/x
  3. Step 3: Cross multiply
    517,794.80x = 714,385.58 × 302,782.66
  4. Step 4: Simplify right side
    517,794.80x = 216,303,562,878.17
  5. Step 5: Solve for x
    x = 216,303,562,878.17/517,794.80
  6. Step 6: Final answer
    x = 417,739.93

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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.