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Finding the Fourth Proportional to 585,281.32, 807,692.10 and 317,009.32

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Solution

The fourth proportional to 585,281.32, 807,692.10 and 317,009.32 is: 437,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,281.32 : 807,692.10 = 317,009.32 : x
  2. Step 2: Convert to fraction form
    585,281.32/807,692.10 = 317,009.32/x
  3. Step 3: Cross multiply
    585,281.32x = 807,692.10 × 317,009.32
  4. Step 4: Simplify right side
    585,281.32x = 256,045,923,390.37
  5. Step 5: Solve for x
    x = 256,045,923,390.37/585,281.32
  6. Step 6: Final answer
    x = 437,474.96

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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.