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Finding the Fourth Proportional to 415,795.80, 623,693.70 and 149,597.40

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Solution

The fourth proportional to 415,795.80, 623,693.70 and 149,597.40 is: 224,396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,795.80 : 623,693.70 = 149,597.40 : x
  2. Step 2: Convert to fraction form
    415,795.80/623,693.70 = 149,597.40/x
  3. Step 3: Cross multiply
    415,795.80x = 623,693.70 × 149,597.40
  4. Step 4: Simplify right side
    415,795.80x = 93,302,955,916.38
  5. Step 5: Solve for x
    x = 93,302,955,916.38/415,795.80
  6. Step 6: Final answer
    x = 224,396.10

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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.