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Finding the Fourth Proportional to 473,409.40, 653,309.14 and 269,473.45

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Solution

The fourth proportional to 473,409.40, 653,309.14 and 269,473.45 is: 371,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,409.40 : 653,309.14 = 269,473.45 : x
  2. Step 2: Convert to fraction form
    473,409.40/653,309.14 = 269,473.45/x
  3. Step 3: Cross multiply
    473,409.40x = 653,309.14 × 269,473.45
  4. Step 4: Simplify right side
    473,409.40x = 176,049,464,605.79
  5. Step 5: Solve for x
    x = 176,049,464,605.79/473,409.40
  6. Step 6: Final answer
    x = 371,875.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.