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Finding the Fourth Proportional to 475,774.56, 656,577.90 and 260,901

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Solution

The fourth proportional to 475,774.56, 656,577.90 and 260,901 is: 360,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,774.56 : 656,577.90 = 260,901 : x
  2. Step 2: Convert to fraction form
    475,774.56/656,577.90 = 260,901/x
  3. Step 3: Cross multiply
    475,774.56x = 656,577.90 × 260,901
  4. Step 4: Simplify right side
    475,774.56x = 171,301,830,687.90
  5. Step 5: Solve for x
    x = 171,301,830,687.90/475,774.56
  6. Step 6: Final answer
    x = 360,048.32

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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.