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Finding the Fourth Proportional to 310,348.98, 465,465.17 and 97,084.96

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Solution

The fourth proportional to 310,348.98, 465,465.17 and 97,084.96 is: 145,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,348.98 : 465,465.17 = 97,084.96 : x
  2. Step 2: Convert to fraction form
    310,348.98/465,465.17 = 97,084.96/x
  3. Step 3: Cross multiply
    310,348.98x = 465,465.17 × 97,084.96
  4. Step 4: Simplify right side
    310,348.98x = 45,189,666,489.89
  5. Step 5: Solve for x
    x = 45,189,666,489.89/310,348.98
  6. Step 6: Final answer
    x = 145,609.20

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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.