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Finding the Fourth Proportional to 564,602.13, 779,166.54 and 319,567.41

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Solution

The fourth proportional to 564,602.13, 779,166.54 and 319,567.41 is: 441,011.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,602.13 : 779,166.54 = 319,567.41 : x
  2. Step 2: Convert to fraction form
    564,602.13/779,166.54 = 319,567.41/x
  3. Step 3: Cross multiply
    564,602.13x = 779,166.54 × 319,567.41
  4. Step 4: Simplify right side
    564,602.13x = 248,996,233,146.46
  5. Step 5: Solve for x
    x = 248,996,233,146.46/564,602.13
  6. Step 6: Final answer
    x = 441,011.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.