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Finding the Fourth Proportional to 758,883.81, 1,047,260.03 and 419,352.06

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Solution

The fourth proportional to 758,883.81, 1,047,260.03 and 419,352.06 is: 578,706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,883.81 : 1,047,260.03 = 419,352.06 : x
  2. Step 2: Convert to fraction form
    758,883.81/1,047,260.03 = 419,352.06/x
  3. Step 3: Cross multiply
    758,883.81x = 1,047,260.03 × 419,352.06
  4. Step 4: Simplify right side
    758,883.81x = 439,170,643,603.10
  5. Step 5: Solve for x
    x = 439,170,643,603.10/758,883.81
  6. Step 6: Final answer
    x = 578,706.04

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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.