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Finding the Fourth Proportional to 561,102.72, 774,075.06 and 334,617

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Solution

The fourth proportional to 561,102.72, 774,075.06 and 334,617 is: 461,624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,102.72 : 774,075.06 = 334,617 : x
  2. Step 2: Convert to fraction form
    561,102.72/774,075.06 = 334,617/x
  3. Step 3: Cross multiply
    561,102.72x = 774,075.06 × 334,617
  4. Step 4: Simplify right side
    561,102.72x = 259,018,674,352.02
  5. Step 5: Solve for x
    x = 259,018,674,352.02/561,102.72
  6. Step 6: Final answer
    x = 461,624.34

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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.