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Finding the Fourth Proportional to 497,201.94, 745,303.50 and 159,994.74

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Solution

The fourth proportional to 497,201.94, 745,303.50 and 159,994.74 is: 239,831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,201.94 : 745,303.50 = 159,994.74 : x
  2. Step 2: Convert to fraction form
    497,201.94/745,303.50 = 159,994.74/x
  3. Step 3: Cross multiply
    497,201.94x = 745,303.50 × 159,994.74
  4. Step 4: Simplify right side
    497,201.94x = 119,244,639,703.59
  5. Step 5: Solve for x
    x = 119,244,639,703.59/497,201.94
  6. Step 6: Final answer
    x = 239,831.40

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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.