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Finding the Fourth Proportional to 342,438.54, 513,048.33 and 292,007.00

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Solution

The fourth proportional to 342,438.54, 513,048.33 and 292,007.00 is: 437,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,438.54 : 513,048.33 = 292,007.00 : x
  2. Step 2: Convert to fraction form
    342,438.54/513,048.33 = 292,007.00/x
  3. Step 3: Cross multiply
    342,438.54x = 513,048.33 × 292,007.00
  4. Step 4: Simplify right side
    342,438.54x = 149,813,701,133.07
  5. Step 5: Solve for x
    x = 149,813,701,133.07/342,438.54
  6. Step 6: Final answer
    x = 437,490.77

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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.