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Finding the Fourth Proportional to 424,903.16, 585,821.76 and 348,139.46

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Solution

The fourth proportional to 424,903.16, 585,821.76 and 348,139.46 is: 479,986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,903.16 : 585,821.76 = 348,139.46 : x
  2. Step 2: Convert to fraction form
    424,903.16/585,821.76 = 348,139.46/x
  3. Step 3: Cross multiply
    424,903.16x = 585,821.76 × 348,139.46
  4. Step 4: Simplify right side
    424,903.16x = 203,947,671,182.65
  5. Step 5: Solve for x
    x = 203,947,671,182.65/424,903.16
  6. Step 6: Final answer
    x = 479,986.24

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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.