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Finding the Fourth Proportional to 435,580.56, 653,463.18 and 155,097

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Solution

The fourth proportional to 435,580.56, 653,463.18 and 155,097 is: 232,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,580.56 : 653,463.18 = 155,097 : x
  2. Step 2: Convert to fraction form
    435,580.56/653,463.18 = 155,097/x
  3. Step 3: Cross multiply
    435,580.56x = 653,463.18 × 155,097
  4. Step 4: Simplify right side
    435,580.56x = 101,350,178,828.46
  5. Step 5: Solve for x
    x = 101,350,178,828.46/435,580.56
  6. Step 6: Final answer
    x = 232,678.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.