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Finding the Fourth Proportional to 1,355,746.92, 1,871,096.67 and 782,786.13

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Solution

The fourth proportional to 1,355,746.92, 1,871,096.67 and 782,786.13 is: 1,080,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355,746.92 : 1,871,096.67 = 782,786.13 : x
  2. Step 2: Convert to fraction form
    1,355,746.92/1,871,096.67 = 782,786.13/x
  3. Step 3: Cross multiply
    1,355,746.92x = 1,871,096.67 × 782,786.13
  4. Step 4: Simplify right side
    1,355,746.92x = 1,464,668,521,165.19
  5. Step 5: Solve for x
    x = 1,464,668,521,165.19/1,355,746.92
  6. Step 6: Final answer
    x = 1,080,340.66

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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.