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Finding the Fourth Proportional to 523,757.73, 785,681.86 and 144,678.34

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Solution

The fourth proportional to 523,757.73, 785,681.86 and 144,678.34 is: 217,030.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,757.73 : 785,681.86 = 144,678.34 : x
  2. Step 2: Convert to fraction form
    523,757.73/785,681.86 = 144,678.34/x
  3. Step 3: Cross multiply
    523,757.73x = 785,681.86 × 144,678.34
  4. Step 4: Simplify right side
    523,757.73x = 113,671,147,272.91
  5. Step 5: Solve for x
    x = 113,671,147,272.91/523,757.73
  6. Step 6: Final answer
    x = 217,030.01

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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.