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Finding the Fourth Proportional to 462,484.74, 693,712.38 and 209,580.06

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Solution

The fourth proportional to 462,484.74, 693,712.38 and 209,580.06 is: 314,363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,484.74 : 693,712.38 = 209,580.06 : x
  2. Step 2: Convert to fraction form
    462,484.74/693,712.38 = 209,580.06/x
  3. Step 3: Cross multiply
    462,484.74x = 693,712.38 × 209,580.06
  4. Step 4: Simplify right side
    462,484.74x = 145,388,282,223.14
  5. Step 5: Solve for x
    x = 145,388,282,223.14/462,484.74
  6. Step 6: Final answer
    x = 314,363.41

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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.