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Finding the Fourth Proportional to 527,433.16, 727,842.74 and 309,638.40

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Solution

The fourth proportional to 527,433.16, 727,842.74 and 309,638.40 is: 427,292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,433.16 : 727,842.74 = 309,638.40 : x
  2. Step 2: Convert to fraction form
    527,433.16/727,842.74 = 309,638.40/x
  3. Step 3: Cross multiply
    527,433.16x = 727,842.74 × 309,638.40
  4. Step 4: Simplify right side
    527,433.16x = 225,368,061,465.22
  5. Step 5: Solve for x
    x = 225,368,061,465.22/527,433.16
  6. Step 6: Final answer
    x = 427,292.17

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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.