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Finding the Fourth Proportional to 462,085.35, 692,831.35 and 192,400.30

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Solution

The fourth proportional to 462,085.35, 692,831.35 and 192,400.30 is: 288,476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,085.35 : 692,831.35 = 192,400.30 : x
  2. Step 2: Convert to fraction form
    462,085.35/692,831.35 = 192,400.30/x
  3. Step 3: Cross multiply
    462,085.35x = 692,831.35 × 192,400.30
  4. Step 4: Simplify right side
    462,085.35x = 133,300,959,589.41
  5. Step 5: Solve for x
    x = 133,300,959,589.41/462,085.35
  6. Step 6: Final answer
    x = 288,476.92

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1.5x scale

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.