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Finding the Fourth Proportional to 540,894.72, 746,428.32 and 299,158.32

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Solution

The fourth proportional to 540,894.72, 746,428.32 and 299,158.32 is: 412,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,894.72 : 746,428.32 = 299,158.32 : x
  2. Step 2: Convert to fraction form
    540,894.72/746,428.32 = 299,158.32/x
  3. Step 3: Cross multiply
    540,894.72x = 746,428.32 × 299,158.32
  4. Step 4: Simplify right side
    540,894.72x = 223,300,242,211.62
  5. Step 5: Solve for x
    x = 223,300,242,211.62/540,894.72
  6. Step 6: Final answer
    x = 412,834.95

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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.