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Finding the Fourth Proportional to 471,429.42, 648,929.70 and 410,895.06

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Solution

The fourth proportional to 471,429.42, 648,929.70 and 410,895.06 is: 565,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,429.42 : 648,929.70 = 410,895.06 : x
  2. Step 2: Convert to fraction form
    471,429.42/648,929.70 = 410,895.06/x
  3. Step 3: Cross multiply
    471,429.42x = 648,929.70 × 410,895.06
  4. Step 4: Simplify right side
    471,429.42x = 266,642,008,017.28
  5. Step 5: Solve for x
    x = 266,642,008,017.28/471,429.42
  6. Step 6: Final answer
    x = 565,603.24

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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.