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Finding the Fourth Proportional to 493,903.86, 740,983.29 and 152,339.61

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Solution

The fourth proportional to 493,903.86, 740,983.29 and 152,339.61 is: 228,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,903.86 : 740,983.29 = 152,339.61 : x
  2. Step 2: Convert to fraction form
    493,903.86/740,983.29 = 152,339.61/x
  3. Step 3: Cross multiply
    493,903.86x = 740,983.29 × 152,339.61
  4. Step 4: Simplify right side
    493,903.86x = 112,881,105,415.12
  5. Step 5: Solve for x
    x = 112,881,105,415.12/493,903.86
  6. Step 6: Final answer
    x = 228,548.74

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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.