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Finding the Fourth Proportional to 310,898.40, 466,117.20 and 210,808.80

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Solution

The fourth proportional to 310,898.40, 466,117.20 and 210,808.80 is: 316,056.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,898.40 : 466,117.20 = 210,808.80 : x
  2. Step 2: Convert to fraction form
    310,898.40/466,117.20 = 210,808.80/x
  3. Step 3: Cross multiply
    310,898.40x = 466,117.20 × 210,808.80
  4. Step 4: Simplify right side
    310,898.40x = 98,261,607,591.36
  5. Step 5: Solve for x
    x = 98,261,607,591.36/310,898.40
  6. Step 6: Final answer
    x = 316,056.97

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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.