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Finding the Fourth Proportional to 564,933.13, 779,417.97 and 319,884.51

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Solution

The fourth proportional to 564,933.13, 779,417.97 and 319,884.51 is: 441,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,933.13 : 779,417.97 = 319,884.51 : x
  2. Step 2: Convert to fraction form
    564,933.13/779,417.97 = 319,884.51/x
  3. Step 3: Cross multiply
    564,933.13x = 779,417.97 × 319,884.51
  4. Step 4: Simplify right side
    564,933.13x = 249,323,733,819.22
  5. Step 5: Solve for x
    x = 249,323,733,819.22/564,933.13
  6. Step 6: Final answer
    x = 441,333.18

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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.