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Finding the Fourth Proportional to 407,414.32, 610,235.88 and 249,164.08

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Solution

The fourth proportional to 407,414.32, 610,235.88 and 249,164.08 is: 373,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,414.32 : 610,235.88 = 249,164.08 : x
  2. Step 2: Convert to fraction form
    407,414.32/610,235.88 = 249,164.08/x
  3. Step 3: Cross multiply
    407,414.32x = 610,235.88 × 249,164.08
  4. Step 4: Simplify right side
    407,414.32x = 152,048,861,623.19
  5. Step 5: Solve for x
    x = 152,048,861,623.19/407,414.32
  6. Step 6: Final answer
    x = 373,204.51

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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.