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Finding the Fourth Proportional to 702,541.36, 969,509.64 and 380,255.68

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Solution

The fourth proportional to 702,541.36, 969,509.64 and 380,255.68 is: 524,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,541.36 : 969,509.64 = 380,255.68 : x
  2. Step 2: Convert to fraction form
    702,541.36/969,509.64 = 380,255.68/x
  3. Step 3: Cross multiply
    702,541.36x = 969,509.64 × 380,255.68
  4. Step 4: Simplify right side
    702,541.36x = 368,661,547,424.76
  5. Step 5: Solve for x
    x = 368,661,547,424.76/702,541.36
  6. Step 6: Final answer
    x = 524,754.23

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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.