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Finding the Fourth Proportional to 424,527, 585,368.94 and 327,510.06

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Solution

The fourth proportional to 424,527, 585,368.94 and 327,510.06 is: 451,594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,527 : 585,368.94 = 327,510.06 : x
  2. Step 2: Convert to fraction form
    424,527/585,368.94 = 327,510.06/x
  3. Step 3: Cross multiply
    424,527x = 585,368.94 × 327,510.06
  4. Step 4: Simplify right side
    424,527x = 191,714,216,661.54
  5. Step 5: Solve for x
    x = 191,714,216,661.54/424,527
  6. Step 6: Final answer
    x = 451,594.87

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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.