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Finding the Fourth Proportional to 736,295.84, 1,016,074.84 and 409,607.36

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Solution

The fourth proportional to 736,295.84, 1,016,074.84 and 409,607.36 is: 565,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,295.84 : 1,016,074.84 = 409,607.36 : x
  2. Step 2: Convert to fraction form
    736,295.84/1,016,074.84 = 409,607.36/x
  3. Step 3: Cross multiply
    736,295.84x = 1,016,074.84 × 409,607.36
  4. Step 4: Simplify right side
    736,295.84x = 416,191,732,774.82
  5. Step 5: Solve for x
    x = 416,191,732,774.82/736,295.84
  6. Step 6: Final answer
    x = 565,250.69

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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.