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Finding the Fourth Proportional to 310,548.31, 465,822.57 and 97,332.77

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Solution

The fourth proportional to 310,548.31, 465,822.57 and 97,332.77 is: 145,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,548.31 : 465,822.57 = 97,332.77 : x
  2. Step 2: Convert to fraction form
    310,548.31/465,822.57 = 97,332.77/x
  3. Step 3: Cross multiply
    310,548.31x = 465,822.57 × 97,332.77
  4. Step 4: Simplify right side
    310,548.31x = 45,339,798,737.51
  5. Step 5: Solve for x
    x = 45,339,798,737.51/310,548.31
  6. Step 6: Final answer
    x = 145,999.18

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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.