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Finding the Fourth Proportional to 564,259.51, 778,678.17 and 322,547.36

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Solution

The fourth proportional to 564,259.51, 778,678.17 and 322,547.36 is: 445,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,259.51 : 778,678.17 = 322,547.36 : x
  2. Step 2: Convert to fraction form
    564,259.51/778,678.17 = 322,547.36/x
  3. Step 3: Cross multiply
    564,259.51x = 778,678.17 × 322,547.36
  4. Step 4: Simplify right side
    564,259.51x = 251,160,588,023.13
  5. Step 5: Solve for x
    x = 251,160,588,023.13/564,259.51
  6. Step 6: Final answer
    x = 445,115.39

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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.