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Finding the Fourth Proportional to 523,764.48, 785,692 and 144,685.08

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Solution

The fourth proportional to 523,764.48, 785,692 and 144,685.08 is: 217,040.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,764.48 : 785,692 = 144,685.08 : x
  2. Step 2: Convert to fraction form
    523,764.48/785,692 = 144,685.08/x
  3. Step 3: Cross multiply
    523,764.48x = 785,692 × 144,685.08
  4. Step 4: Simplify right side
    523,764.48x = 113,677,909,875.36
  5. Step 5: Solve for x
    x = 113,677,909,875.36/523,764.48
  6. Step 6: Final answer
    x = 217,040.13

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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.