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Finding the Fourth Proportional to 462,193.94, 637,831.86 and 271,210.52

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Solution

The fourth proportional to 462,193.94, 637,831.86 and 271,210.52 is: 374,273.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,193.94 : 637,831.86 = 271,210.52 : x
  2. Step 2: Convert to fraction form
    462,193.94/637,831.86 = 271,210.52/x
  3. Step 3: Cross multiply
    462,193.94x = 637,831.86 × 271,210.52
  4. Step 4: Simplify right side
    462,193.94x = 172,986,710,423.17
  5. Step 5: Solve for x
    x = 172,986,710,423.17/462,193.94
  6. Step 6: Final answer
    x = 374,273.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.