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Finding the Fourth Proportional to 524,923.29, 724,407.71 and 295,488.81

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Solution

The fourth proportional to 524,923.29, 724,407.71 and 295,488.81 is: 407,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,923.29 : 724,407.71 = 295,488.81 : x
  2. Step 2: Convert to fraction form
    524,923.29/724,407.71 = 295,488.81/x
  3. Step 3: Cross multiply
    524,923.29x = 724,407.71 × 295,488.81
  4. Step 4: Simplify right side
    524,923.29x = 214,054,370,705.28
  5. Step 5: Solve for x
    x = 214,054,370,705.28/524,923.29
  6. Step 6: Final answer
    x = 407,782.19

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