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Finding the Fourth Proportional to 290,290.40, 435,463.08 and 112,811.10

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Solution

The fourth proportional to 290,290.40, 435,463.08 and 112,811.10 is: 169,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,290.40 : 435,463.08 = 112,811.10 : x
  2. Step 2: Convert to fraction form
    290,290.40/435,463.08 = 112,811.10/x
  3. Step 3: Cross multiply
    290,290.40x = 435,463.08 × 112,811.10
  4. Step 4: Simplify right side
    290,290.40x = 49,125,069,064.19
  5. Step 5: Solve for x
    x = 49,125,069,064.19/290,290.40
  6. Step 6: Final answer
    x = 169,227.33

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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.