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Finding the Fourth Proportional to 564,457.56, 778,950.42 and 322,744.68

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Solution

The fourth proportional to 564,457.56, 778,950.42 and 322,744.68 is: 445,387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,457.56 : 778,950.42 = 322,744.68 : x
  2. Step 2: Convert to fraction form
    564,457.56/778,950.42 = 322,744.68/x
  3. Step 3: Cross multiply
    564,457.56x = 778,950.42 × 322,744.68
  4. Step 4: Simplify right side
    564,457.56x = 251,402,104,038.77
  5. Step 5: Solve for x
    x = 251,402,104,038.77/564,457.56
  6. Step 6: Final answer
    x = 445,387.08

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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.