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Finding the Fourth Proportional to 564,970.68, 847,456.02 and 144,231.48

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Solution

The fourth proportional to 564,970.68, 847,456.02 and 144,231.48 is: 216,347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,970.68 : 847,456.02 = 144,231.48 : x
  2. Step 2: Convert to fraction form
    564,970.68/847,456.02 = 144,231.48/x
  3. Step 3: Cross multiply
    564,970.68x = 847,456.02 × 144,231.48
  4. Step 4: Simplify right side
    564,970.68x = 122,229,835,999.51
  5. Step 5: Solve for x
    x = 122,229,835,999.51/564,970.68
  6. Step 6: Final answer
    x = 216,347.22

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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.