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Finding the Fourth Proportional to 424,510.47, 586,066.32 and 281,463.93

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Solution

The fourth proportional to 424,510.47, 586,066.32 and 281,463.93 is: 388,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,510.47 : 586,066.32 = 281,463.93 : x
  2. Step 2: Convert to fraction form
    424,510.47/586,066.32 = 281,463.93/x
  3. Step 3: Cross multiply
    424,510.47x = 586,066.32 × 281,463.93
  4. Step 4: Simplify right side
    424,510.47x = 164,956,529,667.84
  5. Step 5: Solve for x
    x = 164,956,529,667.84/424,510.47
  6. Step 6: Final answer
    x = 388,580.59

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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.