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Finding the Fourth Proportional to 541,866.60, 813,260.70 and 242,807.40

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Solution

The fourth proportional to 541,866.60, 813,260.70 and 242,807.40 is: 364,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,866.60 : 813,260.70 = 242,807.40 : x
  2. Step 2: Convert to fraction form
    541,866.60/813,260.70 = 242,807.40/x
  3. Step 3: Cross multiply
    541,866.60x = 813,260.70 × 242,807.40
  4. Step 4: Simplify right side
    541,866.60x = 197,465,716,089.18
  5. Step 5: Solve for x
    x = 197,465,716,089.18/541,866.60
  6. Step 6: Final answer
    x = 364,417.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.