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Finding the Fourth Proportional to 917,257.01, 1,265,846.35 and 509,365.68

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Solution

The fourth proportional to 917,257.01, 1,265,846.35 and 509,365.68 is: 702,942.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,257.01 : 1,265,846.35 = 509,365.68 : x
  2. Step 2: Convert to fraction form
    917,257.01/1,265,846.35 = 509,365.68/x
  3. Step 3: Cross multiply
    917,257.01x = 1,265,846.35 × 509,365.68
  4. Step 4: Simplify right side
    917,257.01x = 644,778,688,898.38
  5. Step 5: Solve for x
    x = 644,778,688,898.38/917,257.01
  6. Step 6: Final answer
    x = 702,942.23

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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.