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Finding the Fourth Proportional to 424,908.24, 636,895.80 and 144,214.08

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Solution

The fourth proportional to 424,908.24, 636,895.80 and 144,214.08 is: 216,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,908.24 : 636,895.80 = 144,214.08 : x
  2. Step 2: Convert to fraction form
    424,908.24/636,895.80 = 144,214.08/x
  3. Step 3: Cross multiply
    424,908.24x = 636,895.80 × 144,214.08
  4. Step 4: Simplify right side
    424,908.24x = 91,849,341,852.86
  5. Step 5: Solve for x
    x = 91,849,341,852.86/424,908.24
  6. Step 6: Final answer
    x = 216,162.77

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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.