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Finding the Fourth Proportional to 562,409.79, 776,125.58 and 307,761

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Solution

The fourth proportional to 562,409.79, 776,125.58 and 307,761 is: 424,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,409.79 : 776,125.58 = 307,761 : x
  2. Step 2: Convert to fraction form
    562,409.79/776,125.58 = 307,761/x
  3. Step 3: Cross multiply
    562,409.79x = 776,125.58 × 307,761
  4. Step 4: Simplify right side
    562,409.79x = 238,861,183,087.58
  5. Step 5: Solve for x
    x = 238,861,183,087.58/562,409.79
  6. Step 6: Final answer
    x = 424,710.22

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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.