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Finding the Fourth Proportional to 310,867.50, 466,313.40 and 97,780.80

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Solution

The fourth proportional to 310,867.50, 466,313.40 and 97,780.80 is: 146,675.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,867.50 : 466,313.40 = 97,780.80 : x
  2. Step 2: Convert to fraction form
    310,867.50/466,313.40 = 97,780.80/x
  3. Step 3: Cross multiply
    310,867.50x = 466,313.40 × 97,780.80
  4. Step 4: Simplify right side
    310,867.50x = 45,596,497,302.72
  5. Step 5: Solve for x
    x = 45,596,497,302.72/310,867.50
  6. Step 6: Final answer
    x = 146,675.02

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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.