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Finding the Fourth Proportional to 484,036.34, 725,933.80 and 142,411.79

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Solution

The fourth proportional to 484,036.34, 725,933.80 and 142,411.79 is: 213,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,036.34 : 725,933.80 = 142,411.79 : x
  2. Step 2: Convert to fraction form
    484,036.34/725,933.80 = 142,411.79/x
  3. Step 3: Cross multiply
    484,036.34x = 725,933.80 × 142,411.79
  4. Step 4: Simplify right side
    484,036.34x = 103,381,531,879.50
  5. Step 5: Solve for x
    x = 103,381,531,879.50/484,036.34
  6. Step 6: Final answer
    x = 213,582.17

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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.