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Finding the Fourth Proportional to 360,185.32, 497,056.10 and 209,292.52

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Solution

The fourth proportional to 360,185.32, 497,056.10 and 209,292.52 is: 288,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,185.32 : 497,056.10 = 209,292.52 : x
  2. Step 2: Convert to fraction form
    360,185.32/497,056.10 = 209,292.52/x
  3. Step 3: Cross multiply
    360,185.32x = 497,056.10 × 209,292.52
  4. Step 4: Simplify right side
    360,185.32x = 104,030,123,750.37
  5. Step 5: Solve for x
    x = 104,030,123,750.37/360,185.32
  6. Step 6: Final answer
    x = 288,823.89

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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.