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Finding the Fourth Proportional to 472,088.66, 707,628.76 and 269,248.06

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Solution

The fourth proportional to 472,088.66, 707,628.76 and 269,248.06 is: 403,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,088.66 : 707,628.76 = 269,248.06 : x
  2. Step 2: Convert to fraction form
    472,088.66/707,628.76 = 269,248.06/x
  3. Step 3: Cross multiply
    472,088.66x = 707,628.76 × 269,248.06
  4. Step 4: Simplify right side
    472,088.66x = 190,527,669,051.42
  5. Step 5: Solve for x
    x = 190,527,669,051.42/472,088.66
  6. Step 6: Final answer
    x = 403,584.50

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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.