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Finding the Fourth Proportional to 523,484.31, 785,133.03 and 139,235.34

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Solution

The fourth proportional to 523,484.31, 785,133.03 and 139,235.34 is: 208,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,484.31 : 785,133.03 = 139,235.34 : x
  2. Step 2: Convert to fraction form
    523,484.31/785,133.03 = 139,235.34/x
  3. Step 3: Cross multiply
    523,484.31x = 785,133.03 × 139,235.34
  4. Step 4: Simplify right side
    523,484.31x = 109,318,264,377.28
  5. Step 5: Solve for x
    x = 109,318,264,377.28/523,484.31
  6. Step 6: Final answer
    x = 208,828.16

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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.