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Finding the Fourth Proportional to 586,424.46, 809,267.31 and 318,152.46

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Solution

The fourth proportional to 586,424.46, 809,267.31 and 318,152.46 is: 439,051.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,424.46 : 809,267.31 = 318,152.46 : x
  2. Step 2: Convert to fraction form
    586,424.46/809,267.31 = 318,152.46/x
  3. Step 3: Cross multiply
    586,424.46x = 809,267.31 × 318,152.46
  4. Step 4: Simplify right side
    586,424.46x = 257,470,385,474.08
  5. Step 5: Solve for x
    x = 257,470,385,474.08/586,424.46
  6. Step 6: Final answer
    x = 439,051.24

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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.