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Finding the Fourth Proportional to 424,920.31, 586,432.38 and 317,303.51

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Solution

The fourth proportional to 424,920.31, 586,432.38 and 317,303.51 is: 437,910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,920.31 : 586,432.38 = 317,303.51 : x
  2. Step 2: Convert to fraction form
    424,920.31/586,432.38 = 317,303.51/x
  3. Step 3: Cross multiply
    424,920.31x = 586,432.38 × 317,303.51
  4. Step 4: Simplify right side
    424,920.31x = 186,077,049,619.49
  5. Step 5: Solve for x
    x = 186,077,049,619.49/424,920.31
  6. Step 6: Final answer
    x = 437,910.47

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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.