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Finding the Fourth Proportional to 290,592.12, 435,774.42 and 113,075.64

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Solution

The fourth proportional to 290,592.12, 435,774.42 and 113,075.64 is: 169,569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,592.12 : 435,774.42 = 113,075.64 : x
  2. Step 2: Convert to fraction form
    290,592.12/435,774.42 = 113,075.64/x
  3. Step 3: Cross multiply
    290,592.12x = 435,774.42 × 113,075.64
  4. Step 4: Simplify right side
    290,592.12x = 49,275,471,437.13
  5. Step 5: Solve for x
    x = 49,275,471,437.13/290,592.12
  6. Step 6: Final answer
    x = 169,569.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.