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Finding the Fourth Proportional to 517,715.48, 714,276.12 and 302,703.31

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Solution

The fourth proportional to 517,715.48, 714,276.12 and 302,703.31 is: 417,630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,715.48 : 714,276.12 = 302,703.31 : x
  2. Step 2: Convert to fraction form
    517,715.48/714,276.12 = 302,703.31/x
  3. Step 3: Cross multiply
    517,715.48x = 714,276.12 × 302,703.31
  4. Step 4: Simplify right side
    517,715.48x = 216,213,747,805.94
  5. Step 5: Solve for x
    x = 216,213,747,805.94/517,715.48
  6. Step 6: Final answer
    x = 417,630.45

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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.