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Finding the Fourth Proportional to 310,828.98, 466,241.94 and 268,580.50

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Solution

The fourth proportional to 310,828.98, 466,241.94 and 268,580.50 is: 402,869.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,828.98 : 466,241.94 = 268,580.50 : x
  2. Step 2: Convert to fraction form
    310,828.98/466,241.94 = 268,580.50/x
  3. Step 3: Cross multiply
    310,828.98x = 466,241.94 × 268,580.50
  4. Step 4: Simplify right side
    310,828.98x = 125,223,490,411.84
  5. Step 5: Solve for x
    x = 125,223,490,411.84/310,828.98
  6. Step 6: Final answer
    x = 402,869.42

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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.