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Finding the Fourth Proportional to 540,946.19, 746,324.45 and 311,498.54

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Solution

The fourth proportional to 540,946.19, 746,324.45 and 311,498.54 is: 429,763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,946.19 : 746,324.45 = 311,498.54 : x
  2. Step 2: Convert to fraction form
    540,946.19/746,324.45 = 311,498.54/x
  3. Step 3: Cross multiply
    540,946.19x = 746,324.45 × 311,498.54
  4. Step 4: Simplify right side
    540,946.19x = 232,478,971,252.19
  5. Step 5: Solve for x
    x = 232,478,971,252.19/540,946.19
  6. Step 6: Final answer
    x = 429,763.58

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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.