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Finding the Fourth Proportional to 509,802.75, 703,545.84 and 280,377.77

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Solution

The fourth proportional to 509,802.75, 703,545.84 and 280,377.77 is: 386,931.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,802.75 : 703,545.84 = 280,377.77 : x
  2. Step 2: Convert to fraction form
    509,802.75/703,545.84 = 280,377.77/x
  3. Step 3: Cross multiply
    509,802.75x = 703,545.84 × 280,377.77
  4. Step 4: Simplify right side
    509,802.75x = 197,258,610,194.25
  5. Step 5: Solve for x
    x = 197,258,610,194.25/509,802.75
  6. Step 6: Final answer
    x = 386,931.24

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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.