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Finding the Fourth Proportional to 290,706.64, 435,795.90 and 103,674.40

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Solution

The fourth proportional to 290,706.64, 435,795.90 and 103,674.40 is: 155,417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,706.64 : 435,795.90 = 103,674.40 : x
  2. Step 2: Convert to fraction form
    290,706.64/435,795.90 = 103,674.40/x
  3. Step 3: Cross multiply
    290,706.64x = 435,795.90 × 103,674.40
  4. Step 4: Simplify right side
    290,706.64x = 45,180,878,454.96
  5. Step 5: Solve for x
    x = 45,180,878,454.96/290,706.64
  6. Step 6: Final answer
    x = 155,417.43

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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.