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Finding the Fourth Proportional to 915,688, 1,263,727.36 and 513,357.76

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Solution

The fourth proportional to 915,688, 1,263,727.36 and 513,357.76 is: 708,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,688 : 1,263,727.36 = 513,357.76 : x
  2. Step 2: Convert to fraction form
    915,688/1,263,727.36 = 513,357.76/x
  3. Step 3: Cross multiply
    915,688x = 1,263,727.36 × 513,357.76
  4. Step 4: Simplify right side
    915,688x = 648,744,246,780.31
  5. Step 5: Solve for x
    x = 648,744,246,780.31/915,688
  6. Step 6: Final answer
    x = 708,477.39

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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.