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Finding the Fourth Proportional to 517,235.41, 713,677.90 and 302,333.96

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Solution

The fourth proportional to 517,235.41, 713,677.90 and 302,333.96 is: 417,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,235.41 : 713,677.90 = 302,333.96 : x
  2. Step 2: Convert to fraction form
    517,235.41/713,677.90 = 302,333.96/x
  3. Step 3: Cross multiply
    517,235.41x = 713,677.90 × 302,333.96
  4. Step 4: Simplify right side
    517,235.41x = 215,769,062,673.83
  5. Step 5: Solve for x
    x = 215,769,062,673.83/517,235.41
  6. Step 6: Final answer
    x = 417,158.34

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1.5x scale

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.