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Finding the Fourth Proportional to 310,877.40, 465,624.90 and 269,405.40

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Solution

The fourth proportional to 310,877.40, 465,624.90 and 269,405.40 is: 403,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,877.40 : 465,624.90 = 269,405.40 : x
  2. Step 2: Convert to fraction form
    310,877.40/465,624.90 = 269,405.40/x
  3. Step 3: Cross multiply
    310,877.40x = 465,624.90 × 269,405.40
  4. Step 4: Simplify right side
    310,877.40x = 125,441,862,434.46
  5. Step 5: Solve for x
    x = 125,441,862,434.46/310,877.40
  6. Step 6: Final answer
    x = 403,509.11

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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.