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Finding the Fourth Proportional to 702,526.12, 969,509.54 and 430,541.46

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Solution

The fourth proportional to 702,526.12, 969,509.54 and 430,541.46 is: 594,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,526.12 : 969,509.54 = 430,541.46 : x
  2. Step 2: Convert to fraction form
    702,526.12/969,509.54 = 430,541.46/x
  3. Step 3: Cross multiply
    702,526.12x = 969,509.54 × 430,541.46
  4. Step 4: Simplify right side
    702,526.12x = 417,414,053,911.88
  5. Step 5: Solve for x
    x = 417,414,053,911.88/702,526.12
  6. Step 6: Final answer
    x = 594,161.62

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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.