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Finding the Fourth Proportional to 702,864.14, 969,953.11 and 380,574.41

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Solution

The fourth proportional to 702,864.14, 969,953.11 and 380,574.41 is: 525,193.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,864.14 : 969,953.11 = 380,574.41 : x
  2. Step 2: Convert to fraction form
    702,864.14/969,953.11 = 380,574.41/x
  3. Step 3: Cross multiply
    702,864.14x = 969,953.11 × 380,574.41
  4. Step 4: Simplify right side
    702,864.14x = 369,139,326,764.71
  5. Step 5: Solve for x
    x = 369,139,326,764.71/702,864.14
  6. Step 6: Final answer
    x = 525,193.00

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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.