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Finding the Fourth Proportional to 540,143.07, 745,333.89 and 298,411.23

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Solution

The fourth proportional to 540,143.07, 745,333.89 and 298,411.23 is: 411,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,143.07 : 745,333.89 = 298,411.23 : x
  2. Step 2: Convert to fraction form
    540,143.07/745,333.89 = 298,411.23/x
  3. Step 3: Cross multiply
    540,143.07x = 745,333.89 × 298,411.23
  4. Step 4: Simplify right side
    540,143.07x = 222,416,002,875.59
  5. Step 5: Solve for x
    x = 222,416,002,875.59/540,143.07
  6. Step 6: Final answer
    x = 411,772.39

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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.