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Finding the Fourth Proportional to 598,617.06, 826,396.29 and 462,345.09

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Solution

The fourth proportional to 598,617.06, 826,396.29 and 462,345.09 is: 638,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,617.06 : 826,396.29 = 462,345.09 : x
  2. Step 2: Convert to fraction form
    598,617.06/826,396.29 = 462,345.09/x
  3. Step 3: Cross multiply
    598,617.06x = 826,396.29 × 462,345.09
  4. Step 4: Simplify right side
    598,617.06x = 382,080,267,075.72
  5. Step 5: Solve for x
    x = 382,080,267,075.72/598,617.06
  6. Step 6: Final answer
    x = 638,271.60

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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.